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pacman::p_load(tmap, sf, sp, DT, stplanr, performance, reshape2, ggpubr, tidyverse) Take-Home Exercise 2: Applied Spatial Interaction Models - A Case Study of Singapore Public Bus Commuter Flows
1 Overview
1.1 Introduction
What are the driving forces behind urban dwellers to weak up early in morning to commute from their home locations to their work places? What are the impact of removing a public bus service on the commuters reside along the corridor of the bus route? These are some questions faced by transport operators and urban managers.
To answer these many questions related to urban mobility, traditionally commuters survey would be used. However, conducting commuters survey is costly, time-consuming and laborious. In addition, survey data tend to take a long time to clean and analyse, which can lead to the collected information being out-of-date when the survey report was ready.
With the recent trend of massive deployment of pervasive computing technologies such as GPS on the vehicles and SMART cards used by public transport commuters, we will utilise and transform geospatially-referenced data into insightful information, hence generating returns on the investment made to collect and manage this data.
1.2 Objectives
In this take-home exercise, we will be using publicly available data and geospatial data science and analysis to answer questions related to urban mobility and how it can be used to support decision-making. In particular, we will be building spatial interaction models to determine factors affecting urban mobility patterns of public bus transit.
1.3 Packages Used
For this exercise, we will be using the following packages:
sf : to import, integrate, process and transform geospatial data
sp: to provide classes and methods for spatial data types
DT:to display R data objects (matrices or dataframes) as tables on HTML pages
stplanr: to visualise flow lines
performance:to compute measures for assessing model quality
reshape2:to restructure and aggregate data
tidyverse: to import, integrate, wrangle and visualise data
tmap: to create thematic maps
ggpubr: to create and customise ‘ggplot2’- based publication ready plots
2 Data Preparation
For the purpose of this take-home exercise, we will be using the following datasets downloaded from LTA Datamall, Data.gov.sg and datasets provided by the course instructor.
Geospatial Data
Bus Stop LocationTrain Station Exit PointMaster Plan 2019 Subzone BoundaryBusiness,FinServ,
Aspatial Data
Passenger Volume by Origin Destination Bus Stopshdb: contains the location of existing HDB blocks, highest floor, year of completion, type of building and number of HDB flats, total dwelling units, numer of flats sold by flat typeschools
2.1 Importing Data into R
odbus <- read_csv("data/aspatial/origin_destination_bus_202310.csv")hdb <- read_csv("data/aspatial/hdb.csv")schools <- read_csv("data/aspatial/schools1.csv")busstop <- st_read(dsn = "data/geospatial",
layer = "BusStop")Reading layer `BusStop' from data source
`C:\sihuihui\ISSS624\Take-home_Ex\Take-home_Ex2\data\geospatial'
using driver `ESRI Shapefile'
Simple feature collection with 5161 features and 3 fields
Geometry type: POINT
Dimension: XY
Bounding box: xmin: 3970.122 ymin: 26482.1 xmax: 48284.56 ymax: 52983.82
Projected CRS: SVY21mpsz <- st_read(dsn = "data/geospatial",
layer = "MPSZ-2019")Reading layer `MPSZ-2019' from data source
`C:\sihuihui\ISSS624\Take-home_Ex\Take-home_Ex2\data\geospatial'
using driver `ESRI Shapefile'
Simple feature collection with 332 features and 6 fields
Geometry type: MULTIPOLYGON
Dimension: XY
Bounding box: xmin: 103.6057 ymin: 1.158699 xmax: 104.0885 ymax: 1.470775
Geodetic CRS: WGS 84business <- st_read(dsn = "data/geospatial",
layer = "Business")Reading layer `Business' from data source
`C:\sihuihui\ISSS624\Take-home_Ex\Take-home_Ex2\data\geospatial'
using driver `ESRI Shapefile'
Simple feature collection with 6550 features and 3 fields
Geometry type: POINT
Dimension: XY
Bounding box: xmin: 3669.148 ymin: 25408.41 xmax: 47034.83 ymax: 50148.54
Projected CRS: SVY21 / Singapore TMfinserv <- st_read(dsn = "data/geospatial",
layer = "FinServ")Reading layer `FinServ' from data source
`C:\sihuihui\ISSS624\Take-home_Ex\Take-home_Ex2\data\geospatial'
using driver `ESRI Shapefile'
Simple feature collection with 3320 features and 3 fields
Geometry type: POINT
Dimension: XY
Bounding box: xmin: 4881.527 ymin: 25171.88 xmax: 46526.16 ymax: 49338.02
Projected CRS: SVY21 / Singapore TMmrtexits <- st_read(dsn = "data/geospatial",
layer = "Train_Station_Exit_Layer")Reading layer `Train_Station_Exit_Layer' from data source
`C:\sihuihui\ISSS624\Take-home_Ex\Take-home_Ex2\data\geospatial'
using driver `ESRI Shapefile'
Simple feature collection with 565 features and 2 fields
Geometry type: POINT
Dimension: XY
Bounding box: xmin: 6134.086 ymin: 27499.7 xmax: 45356.36 ymax: 47865.92
Projected CRS: SVY212.2 Data Wrangling of Aspatial Data
2.2.1 Passenger Volumes from Origin Busstops
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glimpse(odbus)Rows: 5,694,297
Columns: 7
$ YEAR_MONTH <chr> "2023-10", "2023-10", "2023-10", "2023-10", "2023-…
$ DAY_TYPE <chr> "WEEKENDS/HOLIDAY", "WEEKDAY", "WEEKENDS/HOLIDAY",…
$ TIME_PER_HOUR <dbl> 16, 16, 14, 14, 17, 17, 17, 7, 14, 14, 10, 20, 20,…
$ PT_TYPE <chr> "BUS", "BUS", "BUS", "BUS", "BUS", "BUS", "BUS", "…
$ ORIGIN_PT_CODE <chr> "04168", "04168", "80119", "80119", "44069", "2028…
$ DESTINATION_PT_CODE <chr> "10051", "10051", "90079", "90079", "17229", "2014…
$ TOTAL_TRIPS <dbl> 3, 5, 3, 5, 4, 1, 24, 2, 1, 7, 3, 2, 5, 1, 1, 1, 1…From the above output, it shows that the values of the ORIGIN_PT_CODE and DESTINATION_PT_CODE are in character data type. Since these two columns contain the origin bus stop codes and destination bus stop codes and they actually take on a limited number of different values (unlike strings), we convert ORIGIN_PT_CODE and DESTINATION_PT_CODE into factor data type using as.factor().
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odbus$ORIGIN_PT_CODE <- as.factor(odbus$ORIGIN_PT_CODE)
odbus$DESTINATION_PT_CODE <- as.factor(odbus$DESTINATION_PT_CODE)Let us check the odbus dataframe using glimpse() again.
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glimpse(odbus)Rows: 5,694,297
Columns: 7
$ YEAR_MONTH <chr> "2023-10", "2023-10", "2023-10", "2023-10", "2023-…
$ DAY_TYPE <chr> "WEEKENDS/HOLIDAY", "WEEKDAY", "WEEKENDS/HOLIDAY",…
$ TIME_PER_HOUR <dbl> 16, 16, 14, 14, 17, 17, 17, 7, 14, 14, 10, 20, 20,…
$ PT_TYPE <chr> "BUS", "BUS", "BUS", "BUS", "BUS", "BUS", "BUS", "…
$ ORIGIN_PT_CODE <fct> 04168, 04168, 80119, 80119, 44069, 20281, 20281, 1…
$ DESTINATION_PT_CODE <fct> 10051, 10051, 90079, 90079, 17229, 20141, 20141, 1…
$ TOTAL_TRIPS <dbl> 3, 5, 3, 5, 4, 1, 24, 2, 1, 7, 3, 2, 5, 1, 1, 1, 1…ORIGIN_PT_CODE and DESTINATION_PT_CODE have been converted to factor data type.
Next, we will do a check on the data. Using unique() function, we can find the unique values in a column. Let us first check the YEAR_MONTH, DAY_TYPE, TIME_PER_HOUR and PT_TYPE to ensure the data contains bus trips made in October 2023, and there are no other unexpected values for DAY_TYPE and TIME_PER_HOUR.
unique(odbus$YEAR_MONTH)[1] "2023-10"unique(odbus$DAY_TYPE)[1] "WEEKENDS/HOLIDAY" "WEEKDAY" unique(odbus$TIME_PER_HOUR) [1] 16 14 17 7 10 20 19 5 11 8 21 18 9 6 12 15 23 13 22 0 1 4 2#To count the number hours listed
length(unique(odbus$TIME_PER_HOUR))[1] 23unique(odbus$PT_TYPE)[1] "BUS"From the above output, we know that the data only contains bus trips made in October 2023. The DAY_TYPES have 2 categories: WEEKDAYS and WEEKENDS/HOLIDAY. TIME_PER_HOUR have 23 categories because there is no value of “3” in TIME_PER_HOUR variable.
2.2.2 Extract the time period we are interested in - Weekday Morning Peak Hour
For the purpose of this exercise, we are interested in the bus commuter flows on weekdays morning peak hour (i.e. 6am to 9am) so we will use the following code chunk to extract the time period we are interested in and save the output in rds format for future use.
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odbus_WDMP <- odbus %>%
filter(DAY_TYPE == "WEEKDAY") %>%
filter(TIME_PER_HOUR >= 6 &
TIME_PER_HOUR <= 9) %>%
group_by(ORIGIN_PT_CODE,
DESTINATION_PT_CODE) %>%
summarise(TRIPS = sum(TOTAL_TRIPS))Let us check the extracted passenger volume from origin busstops on weekday morning peak hour.
summary(odbus_WDMP) ORIGIN_PT_CODE DESTINATION_PT_CODE TRIPS
22009 : 582 22009 : 584 Min. : 1.0
84009 : 562 52009 : 554 1st Qu.: 3.0
75009 : 554 75009 : 535 Median : 15.0
52009 : 548 84009 : 533 Mean : 107.2
59009 : 466 03129 : 474 3rd Qu.: 57.0
46009 : 458 59009 : 466 Max. :97600.0
(Other):239038 (Other):239062 We will use the following code chunk to save this dataframe in rds format for future use.
write_rds(odbus_WDMP, "data/rds/odbus_WDMP.rds")2.2.3 HDB Data
We will now take a look at the HDB data.
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glimpse(hdb)Rows: 12,442
Columns: 37
$ ...1 <dbl> 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14…
$ blk_no <chr> "1", "1", "1", "1", "1", "1", "1", "1", "1", "1"…
$ street <chr> "BEACH RD", "BEDOK STH AVE 1", "CANTONMENT RD", …
$ max_floor_lvl <dbl> 16, 14, 2, 15, 4, 25, 12, 14, 12, 2, 15, 15, 13,…
$ year_completed <dbl> 1970, 1975, 2010, 1982, 1975, 1982, 1975, 1977, …
$ residential <chr> "Y", "Y", "N", "Y", "Y", "Y", "Y", "Y", "Y", "N"…
$ commercial <chr> "Y", "N", "Y", "N", "Y", "N", "N", "N", "Y", "Y"…
$ market_hawker <chr> "N", "N", "N", "N", "N", "N", "N", "N", "N", "N"…
$ miscellaneous <chr> "N", "Y", "N", "N", "N", "N", "Y", "Y", "N", "N"…
$ multistorey_carpark <chr> "N", "N", "N", "N", "N", "N", "N", "N", "N", "N"…
$ precinct_pavilion <chr> "N", "N", "N", "N", "N", "N", "N", "N", "N", "N"…
$ bldg_contract_town <chr> "KWN", "BD", "CT", "BD", "PRC", "BM", "QT", "GL"…
$ total_dwelling_units <dbl> 142, 206, 0, 102, 55, 96, 125, 247, 95, 0, 220, …
$ `1room_sold` <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ `2room_sold` <dbl> 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ `3room_sold` <dbl> 138, 204, 0, 0, 54, 0, 118, 0, 62, 0, 216, 214, …
$ `4room_sold` <dbl> 1, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ `5room_sold` <dbl> 2, 2, 0, 92, 1, 96, 7, 0, 33, 0, 4, 5, 0, 4, 0, …
$ exec_sold <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ multigen_sold <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ studio_apartment_sold <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ `1room_rental` <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 319, 0, 0, 0…
$ `2room_rental` <dbl> 0, 0, 0, 0, 0, 0, 0, 247, 0, 0, 0, 0, 0, 0, 56, …
$ `3room_rental` <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 1,…
$ other_room_rental <dbl> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0,…
$ lat <dbl> 1.295097, 1.320852, 1.275488, 1.327969, 1.388610…
$ lng <dbl> 103.8541, 103.9337, 103.8414, 103.9227, 103.9881…
$ building <chr> "RAFFLES HOTEL", "NIL", "PINNACLE @ DUXTON", "PI…
$ addr <chr> "1 BEACH ROAD RAFFLES HOTEL SINGAPORE 189673", "…
$ postal <chr> "189673", "460001", "080001", "461001", "500001"…
$ SUBZONE_NO <dbl> 2, 6, 3, 3, 1, 9, 10, 5, 3, 5, 1, 5, 2, 2, 1, 7,…
$ SUBZONE_N <chr> "CITY HALL", "BEDOK SOUTH", "CHINATOWN", "KEMBAN…
$ SUBZONE_C <chr> "DTSZ02", "BDSZ06", "OTSZ03", "BDSZ03", "CHSZ01"…
$ PLN_AREA_N <chr> "DOWNTOWN CORE", "BEDOK", "OUTRAM", "BEDOK", "CH…
$ PLN_AREA_C <chr> "DT", "BD", "OT", "BD", "CH", "BM", "QT", "GL", …
$ REGION_N <chr> "CENTRAL REGION", "EAST REGION", "CENTRAL REGION…
$ REGION_C <chr> "CR", "ER", "CR", "ER", "ER", "CR", "CR", "CR", …From the above output, we know that there are some HDB buildings considered as residential, commercial, market, pavillion and even carparks. We will filter the residential and commercial HDB buildings out and save them as different dataframes because these could be propulsive or attractive factors for people to travel in morning peak hour (e.g. people would want to move away from residential areas and move towards commercial buildings in the morning for work).
hdb_residential <- hdb %>%
filter(residential == "Y") %>%
select(postal, lat, lng, SUBZONE_N, residential, total_dwelling_units)glimpse(hdb_residential)Rows: 10,181
Columns: 6
$ postal <chr> "189673", "460001", "461001", "500001", "160001",…
$ lat <dbl> 1.295097, 1.320852, 1.327969, 1.388610, 1.292075,…
$ lng <dbl> 103.8541, 103.9337, 103.9227, 103.9881, 103.8286,…
$ SUBZONE_N <chr> "CITY HALL", "BEDOK SOUTH", "KEMBANGAN", "CHANGI …
$ residential <chr> "Y", "Y", "Y", "Y", "Y", "Y", "Y", "Y", "Y", "Y",…
$ total_dwelling_units <dbl> 142, 206, 102, 55, 96, 125, 247, 95, 220, 219, 31…We check if there are any duplicates in the hdb_residential dataset using the following code chunk.
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duplicate <- hdb_residential %>%
group_by_all() %>%
filter(n()>1) %>%
ungroup()
duplicate# A tibble: 0 × 6
# ℹ 6 variables: postal <chr>, lat <dbl>, lng <dbl>, SUBZONE_N <chr>,
# residential <chr>, total_dwelling_units <dbl>From the above output, we know that there is no duplicate rows in the hdb_residential dataframe.
We will now extract the data for HDB Commercial Buildings.
hdb_commercial <- hdb %>%
filter(commercial == "Y") %>%
select(postal, lat, lng, SUBZONE_N, commercial, total_dwelling_units)glimpse(hdb_commercial)Rows: 2,508
Columns: 6
$ postal <chr> "189673", "080001", "500001", "080001", "408528",…
$ lat <dbl> 1.295097, 1.275488, 1.388610, 1.275499, 1.316494,…
$ lng <dbl> 103.8541, 103.8414, 103.9881, 103.8414, 103.8968,…
$ SUBZONE_N <chr> "CITY HALL", "CHINATOWN", "CHANGI POINT", "CHINAT…
$ commercial <chr> "Y", "Y", "Y", "Y", "Y", "Y", "Y", "Y", "Y", "Y",…
$ total_dwelling_units <dbl> 142, 0, 55, 95, 0, 244, 0, 96, 176, 148, 163, 8, …We check if there are any duplicates in the hdb_commercial dataset using the following code chunk.
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duplicate1 <- hdb_commercial %>%
group_by_all() %>%
filter(n()>1) %>%
ungroup()
duplicate1# A tibble: 0 × 6
# ℹ 6 variables: postal <chr>, lat <dbl>, lng <dbl>, SUBZONE_N <chr>,
# commercial <chr>, total_dwelling_units <dbl>From the output we see that there are no duplicates.
Let us check further to see if there are any buildings with same postal code but occupy 2 different longitude and latitude.
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same_postal <- hdb_commercial %>%
group_by(postal) %>%
filter(n()>1) %>%
ungroup()
same_postal# A tibble: 43 × 6
postal lat lng SUBZONE_N commercial total_dwelling_units
<chr> <dbl> <dbl> <chr> <chr> <dbl>
1 080001 1.28 104. CHINATOWN Y 0
2 080001 1.28 104. CHINATOWN Y 95
3 NIL 1.34 104. TOA PAYOH WEST Y 200
4 NIL 1.28 104. TIONG BAHRU Y 113
5 NIL 1.34 104. TOA PAYOH WEST Y 0
6 NIL 1.33 104. POTONG PASIR Y 0
7 NIL 1.30 104. BUGIS Y 76
8 NIL 1.37 104. SERANGOON GARDEN Y 89
9 NIL 1.35 104. BUKIT BATOK WEST Y 17
10 NIL 1.32 104. BEDOK SOUTH Y 16
# ℹ 33 more rowsFrom the output, we find that there are postal code 080001 occupies 2 different geographical locations and one location has no commercial dwellings while another location has 95 dwelling units. For this analysis, since we are going to analyse the commuter flows at the analytical hexagon level, I choose to retain these 2 geographical location despite them sharing the same postal code. This is because (1) they could end up in 2 different hexagon grids and (2) removing 1 and not the other could cause us to misinterpret the information. For the remaining rows, they are different geographical locations but do not have a postal code. I choose to retain these geographical locations despite them not having postal code because we will be using their latitude and longitude in the subsequent steps to convert it into a simple feature data frame and they will give us the point geometry point coordinates.
2.2.4 Schools Information
We will now take a look at the imported schools data.
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glimpse(schools)Rows: 350
Columns: 41
$ ...1 <dbl> 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, …
$ postal_code <chr> "088256", "099138", "099757", "099840", "109100", "…
$ school_name <chr> "CANTONMENT PRIMARY SCHOOL", "CHIJ ST. THERESA'S CO…
$ url_address <chr> "http://www.cantonmentpri.moe.edu.sg", "http://www.…
$ address <chr> "1 Cantonment Close", "160 LOWER DELTA ROAD", "…
$ telephone_no <chr> "65119555", "64775777", "62730096", "62733937", "62…
$ telephone_no_2 <chr> "na", "na", "na", "na", "na", "na", "na", "na", "na…
$ fax_no <chr> "65119556", "64775700", "62731710", "62763083", "62…
$ fax_no_2 <chr> "na", "na", "na", "na", "na", "na", "na", "na", "na…
$ email_address <chr> "cantonment_ps@moe.edu.sg", "CHIJSTCS@MOE.EDU.SG", …
$ mrt_desc <chr> "Tanjong Pagar Outram Park", "HARBOURFRONT MRT, TIO…
$ bus_desc <chr> "75, 167, 196", "65, 121, 123, 123M, 124, 131, 131M…
$ principal_name <chr> "MRS MANOKARA SUGUNAVATHI", "MDM TAN MEI MEI JENNY"…
$ first_vp_name <chr> "MRS AUDREA CHIN", "MDM ONG LEE LEE", "MS NG CHIOU …
$ second_vp_name <chr> "MISS CHENG SHIN MIIN", "MISS KUO ZHAOYAN, FELICIA"…
$ third_vp_name <chr> "NULL", "NULL", "NULL", "NULL", "NULL", "NULL", "NU…
$ fourth_vp_name <chr> "NULL", "NULL", "NULL", "NULL", "NULL", "NULL", "NU…
$ fifth_vp_name <chr> "NULL", "NULL", "NULL", "NULL", "NULL", "NULL", "NU…
$ sixth_vp_name <chr> "NULL", "NULL", "NULL", "NULL", "NULL", "NULL", "NU…
$ dgp_code <chr> "BUKIT MERAH", "BUKIT MERAH", "BUKIT MERAH", "BUKIT…
$ zone_code <chr> "SOUTH", "SOUTH", "SOUTH", "SOUTH", "SOUTH", "SOUTH…
$ type_code <chr> "GOVERNMENT SCHOOL", "GOVERNMENT-AIDED SCH", "GOVER…
$ nature_code <chr> "CO-ED SCHOOL", "GIRLS' SCHOOL", "GIRLS' SCHOOL", "…
$ session_code <chr> "SINGLE SESSION", "SINGLE SESSION", "SINGLE SESSION…
$ mainlevel_code <chr> "PRIMARY", "SECONDARY", "PRIMARY", "PRIMARY", "PRIM…
$ sap_ind <chr> "No", "No", "No", "No", "No", "No", "No", "No", "Ye…
$ autonomous_ind <chr> "No", "No", "No", "No", "No", "No", "No", "No", "No…
$ gifted_ind <chr> "No", "No", "No", "No", "No", "No", "No", "No", "Ye…
$ ip_ind <chr> "No", "No", "No", "No", "No", "No", "No", "No", "No…
$ mothertongue1_code <chr> "Chinese", "Chinese", "Chinese", "Chinese", "Chines…
$ mothertongue2_code <chr> "Malay", "Malay", "Malay", "Malay", "Malay", "Malay…
$ mothertongue3_code <chr> "Tamil", "Tamil", "Tamil", "Tamil", "Tamil", "na", …
$ results.SEARCHVAL <chr> "KIDZ TREEHOUSE @ CANTONMENT", "CHIJ SAINT THERESA'…
$ results.BLK_NO <chr> "1", "160", "1", "1", "91", "147", "301", "50", "30…
$ results.ROAD_NAME <chr> "CANTONMENT CLOSE", "LOWER DELTA ROAD", "BUKIT TERE…
$ results.BUILDING <chr> "KIDZ TREEHOUSE @ CANTONMENT", "CHIJ SAINT THERESA'…
$ results.ADDRESS <chr> "1 CANTONMENT CLOSE KIDZ TREEHOUSE @ CANTONMENT SIN…
$ results.X <dbl> 28748.16, 26789.38, 27402.97, 26983.87, 25248.37, 2…
$ results.Y <dbl> 28660.00, 28647.44, 28579.85, 28603.93, 28733.28, 3…
$ results.LATITUDE <dbl> 1.275465, 1.275352, 1.274740, 1.274958, 1.276128, 1…
$ results.LONGITUDE <dbl> 103.8400, 103.8224, 103.8280, 103.8242, 103.8086, 1…There are a lot of information that we do not need from the imported data (e.g. School principal) so we will use the following code chunk to retain the columns that we want and also rename the results.LATITUDE and results.LONGITUDE columns to latitude and longitude respectively.
schools_tidy <- schools %>%
rename(latitude = "results.LATITUDE",
longitude = "results.LONGITUDE")%>%
select(postal_code, school_name, latitude, longitude)glimpse(schools_tidy)Rows: 350
Columns: 4
$ postal_code <chr> "088256", "099138", "099757", "099840", "109100", "127368"…
$ school_name <chr> "CANTONMENT PRIMARY SCHOOL", "CHIJ ST. THERESA'S CONVENT",…
$ latitude <dbl> 1.275465, 1.275352, 1.274740, 1.274958, 1.276128, 1.301228…
$ longitude <dbl> 103.8400, 103.8224, 103.8280, 103.8242, 103.8086, 103.7649…We will now check if there are any duplicates in the schools_tidy data frame.
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duplicate2 <- schools_tidy %>%
group_by_all() %>%
filter(n()>1) %>%
ungroup()
duplicate2# A tibble: 8 × 4
postal_code school_name latitude longitude
<chr> <chr> <dbl> <dbl>
1 309437 SINGAPORE CHINESE GIRLS' PRIMARY SCHOOL 1.32 104.
2 309437 SINGAPORE CHINESE GIRLS' PRIMARY SCHOOL 1.32 104.
3 309437 SINGAPORE CHINESE GIRLS' SCHOOL 1.32 104.
4 309437 SINGAPORE CHINESE GIRLS' SCHOOL 1.32 104.
5 599986 METHODIST GIRLS' SCHOOL (SECONDARY) 1.33 104.
6 599986 METHODIST GIRLS' SCHOOL (SECONDARY) 1.33 104.
7 599986 METHODIST GIRLS' SCHOOL (PRIMARY) 1.33 104.
8 599986 METHODIST GIRLS' SCHOOL (PRIMARY) 1.33 104.From the above output, we find that there are duplicate entries for Singapore Chinese Girls’ Primary School, Singapore Chinese Girls’ School, Methodist Girls’ School (Secondary) and Methodist Girls’ School (Primary). Hence we will remove the duplicates using the following code chunk.
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schools_tidy <- unique(schools_tidy)Let us do a check to confirm that there are no duplicates in the data frame now.
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duplicate3 <- schools_tidy %>%
group_by_all() %>%
filter(n()>1) %>%
ungroup()
duplicate3# A tibble: 0 × 4
# ℹ 4 variables: postal_code <chr>, school_name <chr>, latitude <dbl>,
# longitude <dbl>From the above output, it shows that there are no more duplicates in the dataframe.
2.2.5 Converting Aspatial data into SF Tibble Dataframe
Currently the hdb residential, hdb commercial and school_tidy data are still asaptial data even though they have latitude and longitude information. So we will use st_as_sf() to convert it into an sf tibble dataframe and use st_transform() to change it to SYV21 projected coordinate system (i.e. the crs code is 3414)
We use the following code chunk to convert hdb residential data into an sf tibble dataframe.
hdb_residental_sf <- st_as_sf(hdb_residential,
coords = c("lng", "lat"),
crs=4326) %>%
st_transform(crs = 3414)glimpse(hdb_residental_sf)Rows: 10,181
Columns: 5
$ postal <chr> "189673", "460001", "461001", "500001", "160001",…
$ SUBZONE_N <chr> "CITY HALL", "BEDOK SOUTH", "KEMBANGAN", "CHANGI …
$ residential <chr> "Y", "Y", "Y", "Y", "Y", "Y", "Y", "Y", "Y", "Y",…
$ total_dwelling_units <dbl> 142, 206, 102, 55, 96, 125, 247, 95, 220, 219, 31…
$ geometry <POINT [m]> POINT (30309.27 30830.82), POINT (39173.81 …We use the following code chunk to convert hdb commercial data into an sf tibble dataframe.
hdb_commercial_sf <- st_as_sf(hdb_commercial,
coords = c("lng", "lat"),
crs=4326) %>%
st_transform(crs = 3414)glimpse(hdb_commercial_sf)Rows: 2,508
Columns: 5
$ postal <chr> "189673", "080001", "500001", "080001", "408528",…
$ SUBZONE_N <chr> "CITY HALL", "CHINATOWN", "CHANGI POINT", "CHINAT…
$ commercial <chr> "Y", "Y", "Y", "Y", "Y", "Y", "Y", "Y", "Y", "Y",…
$ total_dwelling_units <dbl> 142, 0, 55, 95, 0, 244, 0, 96, 176, 148, 163, 8, …
$ geometry <POINT [m]> POINT (30309.27 30830.82), POINT (28901.52 …We use the following code chunk to convert schools_tidy into an sf tibble dataframe.
schools_sf <- st_as_sf(schools_tidy,
coords = c("longitude", "latitude"),
crs=4326) %>%
st_transform(crs=3414)glimpse(schools_sf)Rows: 346
Columns: 3
$ postal_code <chr> "088256", "099138", "099757", "099840", "109100", "127368"…
$ school_name <chr> "CANTONMENT PRIMARY SCHOOL", "CHIJ ST. THERESA'S CONVENT",…
$ geometry <POINT [m]> POINT (28748.16 28660), POINT (26789.38 28647.44), P…2.3 Data Wrangling of Spatial Data
We will now take a look at the spatial data imported in.
glimpse(mpsz)Rows: 332
Columns: 7
$ SUBZONE_N <chr> "MARINA EAST", "INSTITUTION HILL", "ROBERTSON QUAY", "JURON…
$ SUBZONE_C <chr> "MESZ01", "RVSZ05", "SRSZ01", "WISZ01", "MUSZ02", "MPSZ05",…
$ PLN_AREA_N <chr> "MARINA EAST", "RIVER VALLEY", "SINGAPORE RIVER", "WESTERN …
$ PLN_AREA_C <chr> "ME", "RV", "SR", "WI", "MU", "MP", "WI", "WI", "SI", "SI",…
$ REGION_N <chr> "CENTRAL REGION", "CENTRAL REGION", "CENTRAL REGION", "WEST…
$ REGION_C <chr> "CR", "CR", "CR", "WR", "CR", "CR", "WR", "WR", "CR", "CR",…
$ geometry <MULTIPOLYGON [°]> MULTIPOLYGON (((103.8802 1...., MULTIPOLYGON (…glimpse(busstop)Rows: 5,161
Columns: 4
$ BUS_STOP_N <chr> "22069", "32071", "44331", "96081", "11561", "66191", "2338…
$ BUS_ROOF_N <chr> "B06", "B23", "B01", "B05", "B05", "B03", "B02A", "B02", "B…
$ LOC_DESC <chr> "OPP CEVA LOGISTICS", "AFT TRACK 13", "BLK 239", "GRACE IND…
$ geometry <POINT [m]> POINT (13576.31 32883.65), POINT (13228.59 44206.38),…glimpse(mrtexits)Rows: 565
Columns: 3
$ stn_name <chr> "MACPHERSON MRT STATION", "MACPHERSON MRT STATION", "MACPHER…
$ exit_code <chr> "Exit A", "Exit B", "Exit C", "Exit B", "Exit A", "Exit A", …
$ geometry <POINT [m]> POINT (34285.07 34322.99), POINT (34382.15 34231.9), P…glimpse(business)Rows: 6,550
Columns: 4
$ POI_NAME <chr> "JOHN CHEN", "TROPICAL INDUSTRIAL BUILDING", "LIAN CHEONG I…
$ POI_ST_NUM <chr> "6", "14", "12", NA, "2", "21", "68", "68", NA, "14", "10",…
$ POI_ST_NAM <chr> "LITTLE RD", "LITTLE RD", "LITTLE RD", NA, "LITTLE RD", "LO…
$ geometry <POINT [m]> POINT (33818.36 35620.16), POINT (33770.51 35610.2), …glimpse(finserv)Rows: 3,320
Columns: 4
$ POI_NAME <chr> "UOB", "POSB", "UOB", "OCBC", "OCBC", "MAYBANK", "ADPOST MO…
$ POI_ST_NUM <chr> "201", "375", "375", "375", NA, "707", "163", NA, "11", NA,…
$ POI_ST_NAM <chr> "YISHUN AVE 2", "COMMONWEALTH AVE", "COMMONWEALTH AVE", "CO…
$ geometry <POINT [m]> POINT (27966.77 44304.65), POINT (24163.96 31606.25),…We noticed that mpsz dataset is made up of multipolygons while the remaining datasets are made up of point geometry.
Let us now check the coordinates system using the st_crs() function.
st_crs(mpsz)Coordinate Reference System:
User input: WGS 84
wkt:
GEOGCRS["WGS 84",
DATUM["World Geodetic System 1984",
ELLIPSOID["WGS 84",6378137,298.257223563,
LENGTHUNIT["metre",1]]],
PRIMEM["Greenwich",0,
ANGLEUNIT["degree",0.0174532925199433]],
CS[ellipsoidal,2],
AXIS["latitude",north,
ORDER[1],
ANGLEUNIT["degree",0.0174532925199433]],
AXIS["longitude",east,
ORDER[2],
ANGLEUNIT["degree",0.0174532925199433]],
ID["EPSG",4326]]st_crs(busstop)Coordinate Reference System:
User input: SVY21
wkt:
PROJCRS["SVY21",
BASEGEOGCRS["WGS 84",
DATUM["World Geodetic System 1984",
ELLIPSOID["WGS 84",6378137,298.257223563,
LENGTHUNIT["metre",1]],
ID["EPSG",6326]],
PRIMEM["Greenwich",0,
ANGLEUNIT["Degree",0.0174532925199433]]],
CONVERSION["unnamed",
METHOD["Transverse Mercator",
ID["EPSG",9807]],
PARAMETER["Latitude of natural origin",1.36666666666667,
ANGLEUNIT["Degree",0.0174532925199433],
ID["EPSG",8801]],
PARAMETER["Longitude of natural origin",103.833333333333,
ANGLEUNIT["Degree",0.0174532925199433],
ID["EPSG",8802]],
PARAMETER["Scale factor at natural origin",1,
SCALEUNIT["unity",1],
ID["EPSG",8805]],
PARAMETER["False easting",28001.642,
LENGTHUNIT["metre",1],
ID["EPSG",8806]],
PARAMETER["False northing",38744.572,
LENGTHUNIT["metre",1],
ID["EPSG",8807]]],
CS[Cartesian,2],
AXIS["(E)",east,
ORDER[1],
LENGTHUNIT["metre",1,
ID["EPSG",9001]]],
AXIS["(N)",north,
ORDER[2],
LENGTHUNIT["metre",1,
ID["EPSG",9001]]]]st_crs(mrtexits)Coordinate Reference System:
User input: SVY21
wkt:
PROJCRS["SVY21",
BASEGEOGCRS["WGS 84",
DATUM["World Geodetic System 1984",
ELLIPSOID["WGS 84",6378137,298.257223563,
LENGTHUNIT["metre",1]],
ID["EPSG",6326]],
PRIMEM["Greenwich",0,
ANGLEUNIT["Degree",0.0174532925199433]]],
CONVERSION["unnamed",
METHOD["Transverse Mercator",
ID["EPSG",9807]],
PARAMETER["Latitude of natural origin",1.36666666666667,
ANGLEUNIT["Degree",0.0174532925199433],
ID["EPSG",8801]],
PARAMETER["Longitude of natural origin",103.833333333333,
ANGLEUNIT["Degree",0.0174532925199433],
ID["EPSG",8802]],
PARAMETER["Scale factor at natural origin",1,
SCALEUNIT["unity",1],
ID["EPSG",8805]],
PARAMETER["False easting",28001.642,
LENGTHUNIT["metre",1],
ID["EPSG",8806]],
PARAMETER["False northing",38744.572,
LENGTHUNIT["metre",1],
ID["EPSG",8807]]],
CS[Cartesian,2],
AXIS["(E)",east,
ORDER[1],
LENGTHUNIT["metre",1,
ID["EPSG",9001]]],
AXIS["(N)",north,
ORDER[2],
LENGTHUNIT["metre",1,
ID["EPSG",9001]]]]st_crs(business)Coordinate Reference System:
User input: SVY21 / Singapore TM
wkt:
PROJCRS["SVY21 / Singapore TM",
BASEGEOGCRS["SVY21",
DATUM["SVY21",
ELLIPSOID["WGS 84",6378137,298.257223563,
LENGTHUNIT["metre",1]]],
PRIMEM["Greenwich",0,
ANGLEUNIT["degree",0.0174532925199433]],
ID["EPSG",4757]],
CONVERSION["Singapore Transverse Mercator",
METHOD["Transverse Mercator",
ID["EPSG",9807]],
PARAMETER["Latitude of natural origin",1.36666666666667,
ANGLEUNIT["degree",0.0174532925199433],
ID["EPSG",8801]],
PARAMETER["Longitude of natural origin",103.833333333333,
ANGLEUNIT["degree",0.0174532925199433],
ID["EPSG",8802]],
PARAMETER["Scale factor at natural origin",1,
SCALEUNIT["unity",1],
ID["EPSG",8805]],
PARAMETER["False easting",28001.642,
LENGTHUNIT["metre",1],
ID["EPSG",8806]],
PARAMETER["False northing",38744.572,
LENGTHUNIT["metre",1],
ID["EPSG",8807]]],
CS[Cartesian,2],
AXIS["northing (N)",north,
ORDER[1],
LENGTHUNIT["metre",1]],
AXIS["easting (E)",east,
ORDER[2],
LENGTHUNIT["metre",1]],
USAGE[
SCOPE["Cadastre, engineering survey, topographic mapping."],
AREA["Singapore - onshore and offshore."],
BBOX[1.13,103.59,1.47,104.07]],
ID["EPSG",3414]]st_crs(finserv)Coordinate Reference System:
User input: SVY21 / Singapore TM
wkt:
PROJCRS["SVY21 / Singapore TM",
BASEGEOGCRS["SVY21",
DATUM["SVY21",
ELLIPSOID["WGS 84",6378137,298.257223563,
LENGTHUNIT["metre",1]]],
PRIMEM["Greenwich",0,
ANGLEUNIT["degree",0.0174532925199433]],
ID["EPSG",4757]],
CONVERSION["Singapore Transverse Mercator",
METHOD["Transverse Mercator",
ID["EPSG",9807]],
PARAMETER["Latitude of natural origin",1.36666666666667,
ANGLEUNIT["degree",0.0174532925199433],
ID["EPSG",8801]],
PARAMETER["Longitude of natural origin",103.833333333333,
ANGLEUNIT["degree",0.0174532925199433],
ID["EPSG",8802]],
PARAMETER["Scale factor at natural origin",1,
SCALEUNIT["unity",1],
ID["EPSG",8805]],
PARAMETER["False easting",28001.642,
LENGTHUNIT["metre",1],
ID["EPSG",8806]],
PARAMETER["False northing",38744.572,
LENGTHUNIT["metre",1],
ID["EPSG",8807]]],
CS[Cartesian,2],
AXIS["northing (N)",north,
ORDER[1],
LENGTHUNIT["metre",1]],
AXIS["easting (E)",east,
ORDER[2],
LENGTHUNIT["metre",1]],
USAGE[
SCOPE["Cadastre, engineering survey, topographic mapping."],
AREA["Singapore - onshore and offshore."],
BBOX[1.13,103.59,1.47,104.07]],
ID["EPSG",3414]]From the above output, we see that the coordinate system for mpsz is WGS 84, and the coorinate systems for the remaining datasets are SVY21. However, busstop and trainexits still have ‘9001’ in the output of st_crs(), meaning that this is a wrong EPSG code because the correct EPSG code for SVY21 should be 3414.
We use st_transform transform the CRS for mpsz because it was in another projection format. Then we use st_set_crs() to assign the correct ESPG code to the various sf dataframe.
mpsz3414 <- st_transform(mpsz, crs=3414)
st_crs(mpsz3414)Coordinate Reference System:
User input: EPSG:3414
wkt:
PROJCRS["SVY21 / Singapore TM",
BASEGEOGCRS["SVY21",
DATUM["SVY21",
ELLIPSOID["WGS 84",6378137,298.257223563,
LENGTHUNIT["metre",1]]],
PRIMEM["Greenwich",0,
ANGLEUNIT["degree",0.0174532925199433]],
ID["EPSG",4757]],
CONVERSION["Singapore Transverse Mercator",
METHOD["Transverse Mercator",
ID["EPSG",9807]],
PARAMETER["Latitude of natural origin",1.36666666666667,
ANGLEUNIT["degree",0.0174532925199433],
ID["EPSG",8801]],
PARAMETER["Longitude of natural origin",103.833333333333,
ANGLEUNIT["degree",0.0174532925199433],
ID["EPSG",8802]],
PARAMETER["Scale factor at natural origin",1,
SCALEUNIT["unity",1],
ID["EPSG",8805]],
PARAMETER["False easting",28001.642,
LENGTHUNIT["metre",1],
ID["EPSG",8806]],
PARAMETER["False northing",38744.572,
LENGTHUNIT["metre",1],
ID["EPSG",8807]]],
CS[Cartesian,2],
AXIS["northing (N)",north,
ORDER[1],
LENGTHUNIT["metre",1]],
AXIS["easting (E)",east,
ORDER[2],
LENGTHUNIT["metre",1]],
USAGE[
SCOPE["Cadastre, engineering survey, topographic mapping."],
AREA["Singapore - onshore and offshore."],
BBOX[1.13,103.59,1.47,104.07]],
ID["EPSG",3414]]busstop3414 <- st_set_crs(busstop, 3414)
st_crs(busstop3414)Coordinate Reference System:
User input: EPSG:3414
wkt:
PROJCRS["SVY21 / Singapore TM",
BASEGEOGCRS["SVY21",
DATUM["SVY21",
ELLIPSOID["WGS 84",6378137,298.257223563,
LENGTHUNIT["metre",1]]],
PRIMEM["Greenwich",0,
ANGLEUNIT["degree",0.0174532925199433]],
ID["EPSG",4757]],
CONVERSION["Singapore Transverse Mercator",
METHOD["Transverse Mercator",
ID["EPSG",9807]],
PARAMETER["Latitude of natural origin",1.36666666666667,
ANGLEUNIT["degree",0.0174532925199433],
ID["EPSG",8801]],
PARAMETER["Longitude of natural origin",103.833333333333,
ANGLEUNIT["degree",0.0174532925199433],
ID["EPSG",8802]],
PARAMETER["Scale factor at natural origin",1,
SCALEUNIT["unity",1],
ID["EPSG",8805]],
PARAMETER["False easting",28001.642,
LENGTHUNIT["metre",1],
ID["EPSG",8806]],
PARAMETER["False northing",38744.572,
LENGTHUNIT["metre",1],
ID["EPSG",8807]]],
CS[Cartesian,2],
AXIS["northing (N)",north,
ORDER[1],
LENGTHUNIT["metre",1]],
AXIS["easting (E)",east,
ORDER[2],
LENGTHUNIT["metre",1]],
USAGE[
SCOPE["Cadastre, engineering survey, topographic mapping."],
AREA["Singapore - onshore and offshore."],
BBOX[1.13,103.59,1.47,104.07]],
ID["EPSG",3414]]mrtexits3414 <- st_set_crs(mrtexits, 3414)
st_crs(mrtexits3414)Coordinate Reference System:
User input: EPSG:3414
wkt:
PROJCRS["SVY21 / Singapore TM",
BASEGEOGCRS["SVY21",
DATUM["SVY21",
ELLIPSOID["WGS 84",6378137,298.257223563,
LENGTHUNIT["metre",1]]],
PRIMEM["Greenwich",0,
ANGLEUNIT["degree",0.0174532925199433]],
ID["EPSG",4757]],
CONVERSION["Singapore Transverse Mercator",
METHOD["Transverse Mercator",
ID["EPSG",9807]],
PARAMETER["Latitude of natural origin",1.36666666666667,
ANGLEUNIT["degree",0.0174532925199433],
ID["EPSG",8801]],
PARAMETER["Longitude of natural origin",103.833333333333,
ANGLEUNIT["degree",0.0174532925199433],
ID["EPSG",8802]],
PARAMETER["Scale factor at natural origin",1,
SCALEUNIT["unity",1],
ID["EPSG",8805]],
PARAMETER["False easting",28001.642,
LENGTHUNIT["metre",1],
ID["EPSG",8806]],
PARAMETER["False northing",38744.572,
LENGTHUNIT["metre",1],
ID["EPSG",8807]]],
CS[Cartesian,2],
AXIS["northing (N)",north,
ORDER[1],
LENGTHUNIT["metre",1]],
AXIS["easting (E)",east,
ORDER[2],
LENGTHUNIT["metre",1]],
USAGE[
SCOPE["Cadastre, engineering survey, topographic mapping."],
AREA["Singapore - onshore and offshore."],
BBOX[1.13,103.59,1.47,104.07]],
ID["EPSG",3414]]business3414 <- st_set_crs(business, 3414)
st_crs(business3414)Coordinate Reference System:
User input: EPSG:3414
wkt:
PROJCRS["SVY21 / Singapore TM",
BASEGEOGCRS["SVY21",
DATUM["SVY21",
ELLIPSOID["WGS 84",6378137,298.257223563,
LENGTHUNIT["metre",1]]],
PRIMEM["Greenwich",0,
ANGLEUNIT["degree",0.0174532925199433]],
ID["EPSG",4757]],
CONVERSION["Singapore Transverse Mercator",
METHOD["Transverse Mercator",
ID["EPSG",9807]],
PARAMETER["Latitude of natural origin",1.36666666666667,
ANGLEUNIT["degree",0.0174532925199433],
ID["EPSG",8801]],
PARAMETER["Longitude of natural origin",103.833333333333,
ANGLEUNIT["degree",0.0174532925199433],
ID["EPSG",8802]],
PARAMETER["Scale factor at natural origin",1,
SCALEUNIT["unity",1],
ID["EPSG",8805]],
PARAMETER["False easting",28001.642,
LENGTHUNIT["metre",1],
ID["EPSG",8806]],
PARAMETER["False northing",38744.572,
LENGTHUNIT["metre",1],
ID["EPSG",8807]]],
CS[Cartesian,2],
AXIS["northing (N)",north,
ORDER[1],
LENGTHUNIT["metre",1]],
AXIS["easting (E)",east,
ORDER[2],
LENGTHUNIT["metre",1]],
USAGE[
SCOPE["Cadastre, engineering survey, topographic mapping."],
AREA["Singapore - onshore and offshore."],
BBOX[1.13,103.59,1.47,104.07]],
ID["EPSG",3414]]finserv3414 <- st_set_crs(finserv, 3414)
st_crs(finserv3414)Coordinate Reference System:
User input: EPSG:3414
wkt:
PROJCRS["SVY21 / Singapore TM",
BASEGEOGCRS["SVY21",
DATUM["SVY21",
ELLIPSOID["WGS 84",6378137,298.257223563,
LENGTHUNIT["metre",1]]],
PRIMEM["Greenwich",0,
ANGLEUNIT["degree",0.0174532925199433]],
ID["EPSG",4757]],
CONVERSION["Singapore Transverse Mercator",
METHOD["Transverse Mercator",
ID["EPSG",9807]],
PARAMETER["Latitude of natural origin",1.36666666666667,
ANGLEUNIT["degree",0.0174532925199433],
ID["EPSG",8801]],
PARAMETER["Longitude of natural origin",103.833333333333,
ANGLEUNIT["degree",0.0174532925199433],
ID["EPSG",8802]],
PARAMETER["Scale factor at natural origin",1,
SCALEUNIT["unity",1],
ID["EPSG",8805]],
PARAMETER["False easting",28001.642,
LENGTHUNIT["metre",1],
ID["EPSG",8806]],
PARAMETER["False northing",38744.572,
LENGTHUNIT["metre",1],
ID["EPSG",8807]]],
CS[Cartesian,2],
AXIS["northing (N)",north,
ORDER[1],
LENGTHUNIT["metre",1]],
AXIS["easting (E)",east,
ORDER[2],
LENGTHUNIT["metre",1]],
USAGE[
SCOPE["Cadastre, engineering survey, topographic mapping."],
AREA["Singapore - onshore and offshore."],
BBOX[1.13,103.59,1.47,104.07]],
ID["EPSG",3414]]2.3.1 Creating the Analytical Hexagon Layer
For this exercise, we will be analysing the bus commuter flows at analytics hexagon level. The analytical hexagon data is 375m between the centre of the hexagon and its edges to represent the traffic analysis zone.
First, we will create a hexagon tessellation using MPSZ3414 to define the bounding box of the tessellation. As the hexagon layer that we want is 375m (the perpendicular distance between the centre of the hexagon and its edge), and the cellsize parameter in st_make_grid() requires the length to be between opposite edges, we multiply 375m by 2 to get 750m, which is the distance between 2 opposite edges of a hexagon.
In the code chunk below, we also specify the crs = 3414 since we are using the SVY21 coordinate reference system and set square = FALSE to return a hexagon grid (rather than a square grid).
Show the code
hex_grid <- st_make_grid(mpsz3414, c(750,750), crs= 3414, what = "polygons", square = FALSE)
head(hex_grid, 10)Geometry set for 10 features
Geometry type: POLYGON
Dimension: XY
Bounding box: xmin: 1917.538 ymin: 15965.23 xmax: 2667.538 ymax: 28522.6
Projected CRS: SVY21 / Singapore TM
First 5 geometries:Next, we convert hex_grid from a sfc_POLYGON object to sf object for easier handling and add an unique ID to each cell. Each cell is a hexagon and in subsequent steps, we will check the number of trips, count the number of businesses, financial services, schools, residential units, hdb commercial units within each hexagon.
Show the code
hex_grid_sf <- st_sf(hex_grid) %>%
mutate(grid_id = 1:length(lengths(hex_grid)))
head(hex_grid_sf, 10)Simple feature collection with 10 features and 1 field
Geometry type: POLYGON
Dimension: XY
Bounding box: xmin: 1917.538 ymin: 15965.23 xmax: 2667.538 ymax: 28522.6
Projected CRS: SVY21 / Singapore TM
hex_grid grid_id
1 POLYGON ((2292.538 15965.23... 1
2 POLYGON ((2292.538 17264.27... 2
3 POLYGON ((2292.538 18563.3,... 3
4 POLYGON ((2292.538 19862.34... 4
5 POLYGON ((2292.538 21161.38... 5
6 POLYGON ((2292.538 22460.42... 6
7 POLYGON ((2292.538 23759.46... 7
8 POLYGON ((2292.538 25058.49... 8
9 POLYGON ((2292.538 26357.53... 9
10 POLYGON ((2292.538 27656.57... 10This will give us a hexagon grid as seen below.
Show the code
qtm(hex_grid_sf)
To make the entire Singapore map into a hexagon grid, we use st_intersects() to find out the “overlap” between the entire hexagon grid and the Singapore map (as outlined by mpsz3414). We use lengths() to return the number of each element of the list then attach it as a column back to hex_grid_sf data frame.
Show the code
hex_grid_sf$SG <- lengths(st_intersects(hex_grid_sf, mpsz3414))We then use this column to “cut out” the hexagon grid in Singapore map shape by filtering out values in the SG column that do not contain 0 because 0 means there is no overlap between mpsz and the hexagon grid.
Show the code
sgmap <- filter(hex_grid_sf, SG>0)
head(sgmap, 10) Simple feature collection with 10 features and 2 fields
Geometry type: POLYGON
Dimension: XY
Bounding box: xmin: 2292.538 ymin: 21810.9 xmax: 3417.538 ymax: 28522.6
Projected CRS: SVY21 / Singapore TM
hex_grid grid_id SG
1 POLYGON ((2667.538 21810.9,... 33 1
2 POLYGON ((2667.538 23109.94... 34 1
3 POLYGON ((2667.538 24408.98... 35 1
4 POLYGON ((2667.538 25708.01... 36 1
5 POLYGON ((2667.538 27007.05... 37 1
6 POLYGON ((3042.538 22460.42... 60 1
7 POLYGON ((3042.538 23759.46... 61 1
8 POLYGON ((3042.538 25058.49... 62 1
9 POLYGON ((3042.538 26357.53... 63 1
10 POLYGON ((3042.538 27656.57... 64 1We plot out sgmap to check that the entire Singapore map is now broken into hexagon units, rather than planning subzones.
Show the code
qtm(sgmap)
We use st_intersects() and lengths() to find out how many businesses, Financial Services, MRT Exits, Busstops, HDB Commercial buildings, HDB Residential Buildings are in each hexagon.
Show the code
sgmap$`BIZ_COUNT` <- lengths(st_intersects(sgmap, business3414))
sgmap$`FINSERV_COUNT` <- lengths(st_intersects(sgmap, finserv3414))
sgmap$`MRTEXIT_COUNT` <- lengths(st_intersects(sgmap, mrtexits3414))
sgmap$`BUSSTOPS_COUNT` <- lengths(st_intersects(sgmap, busstop3414))
sgmap$`HDBCOMMERCIAL_COUNT` <- lengths(st_intersects(sgmap, hdb_commercial_sf))
sgmap$`HDBRESIDENTIAL_COUNT` <- lengths(st_intersects(sgmap, hdb_residental_sf))
sgmap$`SCHOOLS_COUNT` <- lengths(st_intersects(sgmap, schools_sf))
glimpse(sgmap)Rows: 1,945
Columns: 10
$ hex_grid <POLYGON [m]> POLYGON ((2667.538 21810.9,..., POLYGON (…
$ grid_id <int> 33, 34, 35, 36, 37, 60, 61, 62, 63, 64, 87, 88, 8…
$ SG <int> 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1…
$ BIZ_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ FINSERV_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ MRTEXIT_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ BUSSTOPS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ HDBCOMMERCIAL_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ HDBRESIDENTIAL_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…Notice that the sgmap has hexagon related information and the counts of the businesses, financial services, HDB commercial buildings, HDB residential buildings, schools, MRT exits and bus stops in each hexagon, but we are unable to map it back to the odbus_WDMP data because there are no common fields.
Hence, we will use st_intersection() to perform point (busstop3414) and polygon (sgmap) overlay. The output will be in point sf object.
Show the code
busstop_hex <- st_intersection(busstop3414, sgmap)
glimpse(busstop_hex)Rows: 5,156
Columns: 13
$ BUS_STOP_N <chr> "25059", "25751", "26379", "26299", "25761", "263…
$ BUS_ROOF_N <chr> "UNK", "B02D", "NIL", "B13", "B03", "NIL", "B01C"…
$ LOC_DESC <chr> "AFT TUAS STH BLVD", "BEF TUAS STH AVE 14", "YONG…
$ grid_id <int> 118, 146, 174, 175, 200, 201, 201, 201, 201, 202,…
$ SG <int> 1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1…
$ BIZ_COUNT <int> 0, 3, 49, 0, 2, 14, 14, 14, 14, 75, 75, 29, 29, 3…
$ FINSERV_COUNT <int> 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0…
$ MRTEXIT_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ BUSSTOPS_COUNT <int> 1, 1, 1, 1, 1, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 4, 4…
$ HDBCOMMERCIAL_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ HDBRESIDENTIAL_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ geometry <POINT [m]> POINT (3970.122 28063.28), POINT (4427.939 …The output shows that we now know which bus stops are in which grid using the grid id.
We also intersect mpsz with sgmap to get the subzones and their corresponding grid id.
Show the code
mpsz_hex <- st_intersection(mpsz3414, sgmap)
glimpse(mpsz_hex)Rows: 3,688
Columns: 16
$ SUBZONE_N <chr> "TUAS VIEW EXTENSION", "TUAS VIEW EXTENSION", "TU…
$ SUBZONE_C <chr> "TSSZ06", "TSSZ06", "TSSZ06", "TSSZ06", "TSSZ06",…
$ PLN_AREA_N <chr> "TUAS", "TUAS", "TUAS", "TUAS", "TUAS", "TUAS", "…
$ PLN_AREA_C <chr> "TS", "TS", "TS", "TS", "TS", "TS", "TS", "TS", "…
$ REGION_N <chr> "WEST REGION", "WEST REGION", "WEST REGION", "WES…
$ REGION_C <chr> "WR", "WR", "WR", "WR", "WR", "WR", "WR", "WR", "…
$ grid_id <int> 33, 34, 35, 36, 37, 60, 61, 62, 63, 64, 87, 88, 8…
$ SG <int> 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1…
$ BIZ_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ FINSERV_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ MRTEXIT_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ BUSSTOPS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ HDBCOMMERCIAL_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ HDBRESIDENTIAL_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ geometry <GEOMETRY [m]> POLYGON ((3040.877 22392.98..., POLYGON …We then combine busstop_hex and mpsz_hex to get the busstops, their grid_id, the subzones they are in and the count of the various factors affecting commuter flows
Show the code
busstop_hex_mpsz <- st_intersection(busstop_hex, mpsz_hex) %>%
select(BUS_STOP_N,LOC_DESC,
grid_id,BIZ_COUNT,
FINSERV_COUNT,MRTEXIT_COUNT,BUSSTOPS_COUNT,
HDBCOMMERCIAL_COUNT,HDBRESIDENTIAL_COUNT,
SCHOOLS_COUNT,SUBZONE_N,SUBZONE_C)
glimpse(busstop_hex_mpsz)Rows: 5,156
Columns: 13
$ BUS_STOP_N <chr> "25059", "25751", "26379", "26299", "25761", "263…
$ LOC_DESC <chr> "AFT TUAS STH BLVD", "BEF TUAS STH AVE 14", "YONG…
$ grid_id <int> 118, 146, 174, 175, 200, 201, 201, 201, 201, 202,…
$ BIZ_COUNT <int> 0, 3, 49, 0, 2, 14, 14, 14, 14, 75, 75, 29, 29, 3…
$ FINSERV_COUNT <int> 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0…
$ MRTEXIT_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ BUSSTOPS_COUNT <int> 1, 1, 1, 1, 1, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 4, 4…
$ HDBCOMMERCIAL_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ HDBRESIDENTIAL_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ SUBZONE_N <chr> "TUAS VIEW EXTENSION", "TUAS VIEW EXTENSION", "TU…
$ SUBZONE_C <chr> "TSSZ06", "TSSZ06", "TSSZ05", "TSSZ05", "TSSZ06",…
$ geometry <POINT [m]> POINT (3970.122 28063.28), POINT (4427.939 …
Note
Note that after we combined busstop_hex with mpsz_hex, the number of observations dropped from 5161 to 5156. This is because there are 5 busstops outside of Singapore.
2.4 Visualising the Attractiveness/ Propulsiveness Factors
We use the following code chunk to visualise the distribution of businesses over the hexagon grid of singapore map.
summary(sgmap$BIZ_COUNT) Min. 1st Qu. Median Mean 3rd Qu. Max.
0.000 0.000 0.000 3.368 1.000 126.000 Show the code
tmap_mode("plot")
tm_shape(sgmap) +
tm_fill("BIZ_COUNT", title = "Number of Businesses") +
tm_borders(alpha = 0.5) +
tm_layout(main.title = "Number of Businesses Per Grid",
main.title.position = "center",
main.title.size = 1,
legend.height = 0.35,
legend.width = 0.35,
legend.outside = FALSE,
legend.position = c("right", "bottom"),
frame = FALSE) 
datatable(sgmap %>%
select(grid_id,BIZ_COUNT) %>%
arrange(desc(sgmap$BIZ_COUNT)))From the above output, we observe that grid 2419 has the highest number of businesses concentrated, followed by grid 1673, 717 and 2009. Overall, the western part of Singapore has a larger concentration of businesses. This could be due to there having more factories and industrial estates in that area.
summary(sgmap$FINSERV_COUNT) Min. 1st Qu. Median Mean 3rd Qu. Max.
0.000 0.000 0.000 1.707 0.000 176.000 tmap_mode("plot")
tm_shape(sgmap) +
tm_fill("FINSERV_COUNT", title = "Number of Financial Services") +
tm_borders(alpha = 0.5) +
tm_layout(main.title = "Number of Financial Services Per Grid",
main.title.position = "center",
main.title.size = 1,
legend.height = 0.35,
legend.width = 0.35,
legend.outside = FALSE,
legend.position = c("right", "bottom"),
frame = FALSE) 
datatable(sgmap %>%
select(grid_id,FINSERV_COUNT) %>%
arrange(desc(sgmap$FINSERV_COUNT)))summary(sgmap$MRTEXIT_COUNT) Min. 1st Qu. Median Mean 3rd Qu. Max.
0.0000 0.0000 0.0000 0.2905 0.0000 19.0000 tmap_mode("plot")
tm_shape(sgmap) +
tm_fill("MRTEXIT_COUNT", title = "Number of MRT Exits") +
tm_borders(alpha = 0.5) +
tm_layout(main.title = "Number of MRT EXIT Per Grid",
main.title.position = "center",
main.title.size = 1,
legend.height = 0.35,
legend.width = 0.35,
legend.outside = FALSE,
legend.position = c("right", "bottom"),
frame = FALSE) 
datatable(sgmap %>%
select(grid_id,MRTEXIT_COUNT) %>%
arrange(desc(sgmap$MRTEXIT_COUNT)))summary(sgmap$BUSSTOPS_COUNT) Min. 1st Qu. Median Mean 3rd Qu. Max.
0.000 0.000 0.000 2.651 5.000 20.000 tmap_mode("plot")
tm_shape(sgmap) +
tm_fill("BUSSTOPS_COUNT", title = "Number of Bus Stops") +
tm_borders(alpha = 0.5) +
tm_layout(main.title = "Number of Bus Stops Per Grid",
main.title.position = "center",
main.title.size = 1,
legend.height = 0.35,
legend.width = 0.35,
legend.outside = FALSE,
legend.position = c("right", "bottom"),
frame = FALSE) 
datatable(sgmap %>%
select(grid_id,BUSSTOPS_COUNT) %>%
arrange(desc(sgmap$BUSSTOPS_COUNT)))3 Creating O-D Matrix
To visualise the commuter flows from orgin busstops to destination busstops, we need to create an Origin-Destination Matrix. First, we will convert the busstop_hex_mpsz (sf dataframe) to a tibble dataframe using st_drop_geometry().
Show the code
busstop_hex_mpsz_df <- busstop_hex_mpsz %>%
st_drop_geometry()
glimpse(busstop_hex_mpsz_df)Rows: 5,156
Columns: 12
$ BUS_STOP_N <chr> "25059", "25751", "26379", "26299", "25761", "263…
$ LOC_DESC <chr> "AFT TUAS STH BLVD", "BEF TUAS STH AVE 14", "YONG…
$ grid_id <int> 118, 146, 174, 175, 200, 201, 201, 201, 201, 202,…
$ BIZ_COUNT <int> 0, 3, 49, 0, 2, 14, 14, 14, 14, 75, 75, 29, 29, 3…
$ FINSERV_COUNT <int> 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0…
$ MRTEXIT_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ BUSSTOPS_COUNT <int> 1, 1, 1, 1, 1, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 4, 4…
$ HDBCOMMERCIAL_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ HDBRESIDENTIAL_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0…
$ SUBZONE_N <chr> "TUAS VIEW EXTENSION", "TUAS VIEW EXTENSION", "TU…
$ SUBZONE_C <chr> "TSSZ06", "TSSZ06", "TSSZ05", "TSSZ05", "TSSZ06",…With this dataframe, we can join it with the odbus_WDMP dataframe, which contains the passenger volume data.
Show the code
od_data <- left_join(odbus_WDMP, busstop_hex_mpsz_df,
by = c("ORIGIN_PT_CODE" = "BUS_STOP_N")) %>%
rename(ORIGIN_BS = ORIGIN_PT_CODE,
ORIGIN_SZ = SUBZONE_C,
ORIGIN_SZN = SUBZONE_N,
DESTIN_BS = DESTINATION_PT_CODE,
ORIGIN_BIZ_COUNT = BIZ_COUNT,
ORIGIN_FINSERV_COUNT = FINSERV_COUNT,
ORIGIN_MRTEXIT_COUNT = MRTEXIT_COUNT,
ORIGIN_BUSSTOP_COUNT = BUSSTOPS_COUNT,
ORIGIN_HDBCOMMERCIAL_COUNT = HDBCOMMERCIAL_COUNT,
ORIGIN_HDBRESIDENTIAL_COUNT = HDBRESIDENTIAL_COUNT,
ORIGIN_SCHOOLS_COUNT = SCHOOLS_COUNT,
ORIGIN_LOC_DESC = LOC_DESC,
ORIGIN_GRID_ID = grid_id)
glimpse(od_data)Rows: 242,944
Columns: 14
Groups: ORIGIN_BS [5,029]
$ ORIGIN_BS <chr> "01012", "01012", "01012", "01012", "01012…
$ DESTIN_BS <fct> 01112, 01113, 01121, 01211, 01311, 07371, …
$ TRIPS <dbl> 290, 118, 77, 118, 165, 14, 30, 16, 35, 26…
$ ORIGIN_LOC_DESC <chr> "HOTEL GRAND PACIFIC", "HOTEL GRAND PACIFI…
$ ORIGIN_GRID_ID <int> 2010, 2010, 2010, 2010, 2010, 2010, 2010, …
$ ORIGIN_BIZ_COUNT <int> 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21…
$ ORIGIN_FINSERV_COUNT <int> 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46…
$ ORIGIN_MRTEXIT_COUNT <int> 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, …
$ ORIGIN_BUSSTOP_COUNT <int> 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15…
$ ORIGIN_HDBCOMMERCIAL_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, …
$ ORIGIN_HDBRESIDENTIAL_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, …
$ ORIGIN_SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ ORIGIN_SZN <chr> "VICTORIA", "VICTORIA", "VICTORIA", "VICTO…
$ ORIGIN_SZ <chr> "RCSZ10", "RCSZ10", "RCSZ10", "RCSZ10", "R…From the above output, we use the following code chunk to convert ORIGIN_BS into a factor since ORIGIN_BS contains the origin bus stop numbers.
Show the code
od_data$ORIGIN_BS <- as.factor(od_data$ORIGIN_BS)
glimpse(od_data)Rows: 242,944
Columns: 14
Groups: ORIGIN_BS [5,029]
$ ORIGIN_BS <fct> 01012, 01012, 01012, 01012, 01012, 01012, …
$ DESTIN_BS <fct> 01112, 01113, 01121, 01211, 01311, 07371, …
$ TRIPS <dbl> 290, 118, 77, 118, 165, 14, 30, 16, 35, 26…
$ ORIGIN_LOC_DESC <chr> "HOTEL GRAND PACIFIC", "HOTEL GRAND PACIFI…
$ ORIGIN_GRID_ID <int> 2010, 2010, 2010, 2010, 2010, 2010, 2010, …
$ ORIGIN_BIZ_COUNT <int> 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21…
$ ORIGIN_FINSERV_COUNT <int> 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46…
$ ORIGIN_MRTEXIT_COUNT <int> 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, …
$ ORIGIN_BUSSTOP_COUNT <int> 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15…
$ ORIGIN_HDBCOMMERCIAL_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, …
$ ORIGIN_HDBRESIDENTIAL_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, …
$ ORIGIN_SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ ORIGIN_SZN <chr> "VICTORIA", "VICTORIA", "VICTORIA", "VICTO…
$ ORIGIN_SZ <chr> "RCSZ10", "RCSZ10", "RCSZ10", "RCSZ10", "R…We now check for duplicates in the od_data frame.
Show the code
duplicate4 <- od_data %>%
group_by_all() %>%
filter(n()>1) %>%
ungroup()
datatable(duplicate4)From the above output, we find that there are 700 duplicate entries. Hence we will use the following code chunk to remove the duplicates.
Show the code
od_data <- unique(od_data)We will run the following code chunk to confirm that all duplicates have been removed.
Show the code
duplicate5 <- od_data %>%
group_by_all() %>%
filter(n()>1) %>%
ungroup()
duplicate5# A tibble: 0 × 14
# ℹ 14 variables: ORIGIN_BS <fct>, DESTIN_BS <fct>, TRIPS <dbl>,
# ORIGIN_LOC_DESC <chr>, ORIGIN_GRID_ID <int>, ORIGIN_BIZ_COUNT <int>,
# ORIGIN_FINSERV_COUNT <int>, ORIGIN_MRTEXIT_COUNT <int>,
# ORIGIN_BUSSTOP_COUNT <int>, ORIGIN_HDBCOMMERCIAL_COUNT <int>,
# ORIGIN_HDBRESIDENTIAL_COUNT <int>, ORIGIN_SCHOOLS_COUNT <int>,
# ORIGIN_SZN <chr>, ORIGIN_SZ <chr>Now we will join the od_data dataframe with the busstop_hex_mpsz_df using the DESTIN_BS. By joining these two dataframes using the Destination Busstops, we can get the counts of the attractiveness/ propelsive factors at the destination.
Show the code
od_data <- left_join(od_data , busstop_hex_mpsz_df,
by = c("DESTIN_BS" = "BUS_STOP_N")) %>%
rename(DESTIN_SZ = SUBZONE_C,
DESTIN_SZN = SUBZONE_N,
DESTIN_BIZ_COUNT = BIZ_COUNT,
DESTIN_FINSERV_COUNT = FINSERV_COUNT,
DESTIN_MRTEXIT_COUNT = MRTEXIT_COUNT,
DESTIN_BUSSTOP_COUNT = BUSSTOPS_COUNT,
DESTIN_HDBCOMMERCIAL_COUNT = HDBCOMMERCIAL_COUNT,
DESTIN_HDBRESIDENTIAL_COUNT = HDBRESIDENTIAL_COUNT,
DESTIN_SCHOOLS_COUNT = SCHOOLS_COUNT,
DESTIN_LOC_DESC = LOC_DESC,
DESTIN_GRID_ID = grid_id)Show the code
glimpse(od_data)Rows: 243,506
Columns: 25
Groups: ORIGIN_BS [5,029]
$ ORIGIN_BS <fct> 01012, 01012, 01012, 01012, 01012, 01012, …
$ DESTIN_BS <chr> "01112", "01113", "01121", "01211", "01311…
$ TRIPS <dbl> 290, 118, 77, 118, 165, 14, 30, 16, 35, 26…
$ ORIGIN_LOC_DESC <chr> "HOTEL GRAND PACIFIC", "HOTEL GRAND PACIFI…
$ ORIGIN_GRID_ID <int> 2010, 2010, 2010, 2010, 2010, 2010, 2010, …
$ ORIGIN_BIZ_COUNT <int> 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21…
$ ORIGIN_FINSERV_COUNT <int> 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46…
$ ORIGIN_MRTEXIT_COUNT <int> 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, …
$ ORIGIN_BUSSTOP_COUNT <int> 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15…
$ ORIGIN_HDBCOMMERCIAL_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, …
$ ORIGIN_HDBRESIDENTIAL_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, …
$ ORIGIN_SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ ORIGIN_SZN <chr> "VICTORIA", "VICTORIA", "VICTORIA", "VICTO…
$ ORIGIN_SZ <chr> "RCSZ10", "RCSZ10", "RCSZ10", "RCSZ10", "R…
$ DESTIN_LOC_DESC <chr> "OPP BUGIS STN EXIT C", "BUGIS STN EXIT B"…
$ DESTIN_GRID_ID <int> 2038, 2038, 2065, 2065, 2119, 2093, 2093, …
$ DESTIN_BIZ_COUNT <int> 45, 45, 22, 22, 5, 31, 31, 29, 1, 1, 34, 1…
$ DESTIN_FINSERV_COUNT <int> 53, 53, 25, 25, 40, 15, 15, 5, 6, 6, 7, 6,…
$ DESTIN_MRTEXIT_COUNT <int> 4, 4, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, …
$ DESTIN_BUSSTOP_COUNT <int> 20, 20, 9, 9, 8, 10, 10, 6, 7, 7, 10, 7, 4…
$ DESTIN_HDBCOMMERCIAL_COUNT <int> 5, 5, 21, 21, 11, 3, 3, 5, 14, 14, 0, 14, …
$ DESTIN_HDBRESIDENTIAL_COUNT <int> 10, 10, 23, 23, 15, 3, 3, 11, 35, 35, 0, 3…
$ DESTIN_SCHOOLS_COUNT <int> 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, …
$ DESTIN_SZN <chr> "VICTORIA", "BUGIS", "ROCHOR CANAL", "CRAW…
$ DESTIN_SZ <chr> "RCSZ10", "DTSZ01", "RCSZ04", "KLSZ09", "K…Let us convert DESTIN_BS, ORIGIN_GRID_ID and DESTIN_GRID_ID to factors.
Show the code
od_data$DESTIN_BS <- as.factor(od_data$DESTIN_BS)
od_data$ORIGIN_GRID_ID <- as.factor(od_data$ORIGIN_GRID_ID)
od_data$DESTIN_GRID_ID <- as.factor(od_data$DESTIN_GRID_ID)We will check for duplicates to ensure that each origin only has 1 line that goes to a particular destination.
Show the code
duplicate6 <- od_data %>%
group_by_all() %>%
filter(n()>1) %>%
ungroup()
datatable(duplicate6)We use the following code chunk to remove the duplicates.
Show the code
od_data <- unique(od_data)We run the following code chunk to ensure that all duplicates have been removed.
Show the code
duplicate7 <- od_data %>%
group_by_all() %>%
filter(n()>1) %>%
ungroup()
duplicate7# A tibble: 0 × 25
# ℹ 25 variables: ORIGIN_BS <fct>, DESTIN_BS <fct>, TRIPS <dbl>,
# ORIGIN_LOC_DESC <chr>, ORIGIN_GRID_ID <fct>, ORIGIN_BIZ_COUNT <int>,
# ORIGIN_FINSERV_COUNT <int>, ORIGIN_MRTEXIT_COUNT <int>,
# ORIGIN_BUSSTOP_COUNT <int>, ORIGIN_HDBCOMMERCIAL_COUNT <int>,
# ORIGIN_HDBRESIDENTIAL_COUNT <int>, ORIGIN_SCHOOLS_COUNT <int>,
# ORIGIN_SZN <chr>, ORIGIN_SZ <chr>, DESTIN_LOC_DESC <chr>,
# DESTIN_GRID_ID <fct>, DESTIN_BIZ_COUNT <int>, DESTIN_FINSERV_COUNT <int>, …Let us take a look at the od_data again before we move on.
Show the code
glimpse(od_data)Rows: 243,101
Columns: 25
Groups: ORIGIN_BS [5,029]
$ ORIGIN_BS <fct> 01012, 01012, 01012, 01012, 01012, 01012, …
$ DESTIN_BS <fct> 01112, 01113, 01121, 01211, 01311, 07371, …
$ TRIPS <dbl> 290, 118, 77, 118, 165, 14, 30, 16, 35, 26…
$ ORIGIN_LOC_DESC <chr> "HOTEL GRAND PACIFIC", "HOTEL GRAND PACIFI…
$ ORIGIN_GRID_ID <fct> 2010, 2010, 2010, 2010, 2010, 2010, 2010, …
$ ORIGIN_BIZ_COUNT <int> 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21…
$ ORIGIN_FINSERV_COUNT <int> 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46…
$ ORIGIN_MRTEXIT_COUNT <int> 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, …
$ ORIGIN_BUSSTOP_COUNT <int> 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15…
$ ORIGIN_HDBCOMMERCIAL_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, …
$ ORIGIN_HDBRESIDENTIAL_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, …
$ ORIGIN_SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ ORIGIN_SZN <chr> "VICTORIA", "VICTORIA", "VICTORIA", "VICTO…
$ ORIGIN_SZ <chr> "RCSZ10", "RCSZ10", "RCSZ10", "RCSZ10", "R…
$ DESTIN_LOC_DESC <chr> "OPP BUGIS STN EXIT C", "BUGIS STN EXIT B"…
$ DESTIN_GRID_ID <fct> 2038, 2038, 2065, 2065, 2119, 2093, 2093, …
$ DESTIN_BIZ_COUNT <int> 45, 45, 22, 22, 5, 31, 31, 29, 1, 1, 34, 1…
$ DESTIN_FINSERV_COUNT <int> 53, 53, 25, 25, 40, 15, 15, 5, 6, 6, 7, 6,…
$ DESTIN_MRTEXIT_COUNT <int> 4, 4, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, …
$ DESTIN_BUSSTOP_COUNT <int> 20, 20, 9, 9, 8, 10, 10, 6, 7, 7, 10, 7, 4…
$ DESTIN_HDBCOMMERCIAL_COUNT <int> 5, 5, 21, 21, 11, 3, 3, 5, 14, 14, 0, 14, …
$ DESTIN_HDBRESIDENTIAL_COUNT <int> 10, 10, 23, 23, 15, 3, 3, 11, 35, 35, 0, 3…
$ DESTIN_SCHOOLS_COUNT <int> 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, …
$ DESTIN_SZN <chr> "VICTORIA", "BUGIS", "ROCHOR CANAL", "CRAW…
$ DESTIN_SZ <chr> "RCSZ10", "DTSZ01", "RCSZ04", "KLSZ09", "K…However, we note that the hdb_commerical and hdb residential dataframes have dwelling numbers for each building. Currently we only have the counts of HDB commercial and residential buildings in od_data. The counts of these buildings might not be as useful or representative because a grid can have many low dwelling number HDB residential building. Hence, we will add the total dwelling numbers from hdb commercial and hdb residential into the sgmap dataframe.
First let us add grid_id to the hdb_commercial_sf so that we can later join it to the sgmap dataframe so that they can be assigned with a grid_id. We will also select the relevant columns that we want using the following code chunk.
Show the code
hdb_commercial_hex <- st_intersection(hdb_commercial_sf, sgmap) %>%
st_drop_geometry() %>%
select(postal, SUBZONE_N, total_dwelling_units, grid_id)
glimpse(hdb_commercial_hex) Rows: 2,508
Columns: 4
$ postal <chr> "640907", "640909", "640920", "640932", "640943",…
$ SUBZONE_N <chr> "YUNNAN", "YUNNAN", "YUNNAN", "YUNNAN", "YUNNAN",…
$ total_dwelling_units <dbl> 77, 110, 120, 144, 90, 88, 72, 0, 0, 66, 0, 0, 0,…
$ grid_id <int> 664, 664, 718, 718, 718, 718, 718, 718, 718, 718,…Notice that a few postal codes can be in 1 grid, so we will use group_by() to sum up the total dwelling units in each hexagon unit.
Show the code
hdb_commercial_hex1 <- hdb_commercial_hex %>%
group_by(grid_id)%>%
summarise(total_comm_units_grid = sum(total_dwelling_units))
glimpse(hdb_commercial_hex1) Rows: 354
Columns: 2
$ grid_id <int> 664, 718, 745, 746, 772, 799, 800, 826, 827, 854…
$ total_comm_units_grid <dbl> 187, 670, 96, 2032, 1278, 0, 1637, 428, 0, 556, …We will convert the grid_id into a factor so that it is the same data type as the grid_id in od_data before joining them together.
Show the code
hdb_commercial_hex1$grid_id <- as.factor(hdb_commercial_hex1$grid_id)We use the following code chunk to join od_data and hdb_commercial_hex1 together at the ORIGIN_GRID_ID. This will let us know the number of HDB Residential and Commercial dwellings at the ORIGIN_GRID_ID.
Show the code
od_data <- left_join(od_data, hdb_commercial_hex1,
by=c("ORIGIN_GRID_ID"= "grid_id"))%>%
rename(ORIGIN_HDBCOMM_UNITS = total_comm_units_grid)
glimpse(od_data)Rows: 243,101
Columns: 26
Groups: ORIGIN_BS [5,029]
$ ORIGIN_BS <fct> 01012, 01012, 01012, 01012, 01012, 01012, …
$ DESTIN_BS <fct> 01112, 01113, 01121, 01211, 01311, 07371, …
$ TRIPS <dbl> 290, 118, 77, 118, 165, 14, 30, 16, 35, 26…
$ ORIGIN_LOC_DESC <chr> "HOTEL GRAND PACIFIC", "HOTEL GRAND PACIFI…
$ ORIGIN_GRID_ID <fct> 2010, 2010, 2010, 2010, 2010, 2010, 2010, …
$ ORIGIN_BIZ_COUNT <int> 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21…
$ ORIGIN_FINSERV_COUNT <int> 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46…
$ ORIGIN_MRTEXIT_COUNT <int> 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, …
$ ORIGIN_BUSSTOP_COUNT <int> 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15…
$ ORIGIN_HDBCOMMERCIAL_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, …
$ ORIGIN_HDBRESIDENTIAL_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, …
$ ORIGIN_SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ ORIGIN_SZN <chr> "VICTORIA", "VICTORIA", "VICTORIA", "VICTO…
$ ORIGIN_SZ <chr> "RCSZ10", "RCSZ10", "RCSZ10", "RCSZ10", "R…
$ DESTIN_LOC_DESC <chr> "OPP BUGIS STN EXIT C", "BUGIS STN EXIT B"…
$ DESTIN_GRID_ID <fct> 2038, 2038, 2065, 2065, 2119, 2093, 2093, …
$ DESTIN_BIZ_COUNT <int> 45, 45, 22, 22, 5, 31, 31, 29, 1, 1, 34, 1…
$ DESTIN_FINSERV_COUNT <int> 53, 53, 25, 25, 40, 15, 15, 5, 6, 6, 7, 6,…
$ DESTIN_MRTEXIT_COUNT <int> 4, 4, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, …
$ DESTIN_BUSSTOP_COUNT <int> 20, 20, 9, 9, 8, 10, 10, 6, 7, 7, 10, 7, 4…
$ DESTIN_HDBCOMMERCIAL_COUNT <int> 5, 5, 21, 21, 11, 3, 3, 5, 14, 14, 0, 14, …
$ DESTIN_HDBRESIDENTIAL_COUNT <int> 10, 10, 23, 23, 15, 3, 3, 11, 35, 35, 0, 3…
$ DESTIN_SCHOOLS_COUNT <int> 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, …
$ DESTIN_SZN <chr> "VICTORIA", "BUGIS", "ROCHOR CANAL", "CRAW…
$ DESTIN_SZ <chr> "RCSZ10", "DTSZ01", "RCSZ04", "KLSZ09", "K…
$ ORIGIN_HDBCOMM_UNITS <dbl> 280, 280, 280, 280, 280, 280, 280, 280, 28…We use the following code chunk to join od_data and hdb_commercial_hex1 together at the DESTIN_GRID_ID. This will let us know the number of HDB Residential and Commercial dwellings at the DESTIN_GRID_ID.
Show the code
od_data <- left_join(od_data, hdb_commercial_hex1,
by=c("DESTIN_GRID_ID"= "grid_id"))%>%
rename(DESTIN_HDBCOMM_UNITS = total_comm_units_grid)
glimpse(od_data)Rows: 243,101
Columns: 27
Groups: ORIGIN_BS [5,029]
$ ORIGIN_BS <fct> 01012, 01012, 01012, 01012, 01012, 01012, …
$ DESTIN_BS <fct> 01112, 01113, 01121, 01211, 01311, 07371, …
$ TRIPS <dbl> 290, 118, 77, 118, 165, 14, 30, 16, 35, 26…
$ ORIGIN_LOC_DESC <chr> "HOTEL GRAND PACIFIC", "HOTEL GRAND PACIFI…
$ ORIGIN_GRID_ID <fct> 2010, 2010, 2010, 2010, 2010, 2010, 2010, …
$ ORIGIN_BIZ_COUNT <int> 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21…
$ ORIGIN_FINSERV_COUNT <int> 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46…
$ ORIGIN_MRTEXIT_COUNT <int> 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, …
$ ORIGIN_BUSSTOP_COUNT <int> 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15…
$ ORIGIN_HDBCOMMERCIAL_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, …
$ ORIGIN_HDBRESIDENTIAL_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, …
$ ORIGIN_SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ ORIGIN_SZN <chr> "VICTORIA", "VICTORIA", "VICTORIA", "VICTO…
$ ORIGIN_SZ <chr> "RCSZ10", "RCSZ10", "RCSZ10", "RCSZ10", "R…
$ DESTIN_LOC_DESC <chr> "OPP BUGIS STN EXIT C", "BUGIS STN EXIT B"…
$ DESTIN_GRID_ID <fct> 2038, 2038, 2065, 2065, 2119, 2093, 2093, …
$ DESTIN_BIZ_COUNT <int> 45, 45, 22, 22, 5, 31, 31, 29, 1, 1, 34, 1…
$ DESTIN_FINSERV_COUNT <int> 53, 53, 25, 25, 40, 15, 15, 5, 6, 6, 7, 6,…
$ DESTIN_MRTEXIT_COUNT <int> 4, 4, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, …
$ DESTIN_BUSSTOP_COUNT <int> 20, 20, 9, 9, 8, 10, 10, 6, 7, 7, 10, 7, 4…
$ DESTIN_HDBCOMMERCIAL_COUNT <int> 5, 5, 21, 21, 11, 3, 3, 5, 14, 14, 0, 14, …
$ DESTIN_HDBRESIDENTIAL_COUNT <int> 10, 10, 23, 23, 15, 3, 3, 11, 35, 35, 0, 3…
$ DESTIN_SCHOOLS_COUNT <int> 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, …
$ DESTIN_SZN <chr> "VICTORIA", "BUGIS", "ROCHOR CANAL", "CRAW…
$ DESTIN_SZ <chr> "RCSZ10", "DTSZ01", "RCSZ04", "KLSZ09", "K…
$ ORIGIN_HDBCOMM_UNITS <dbl> 280, 280, 280, 280, 280, 280, 280, 280, 28…
$ DESTIN_HDBCOMM_UNITS <dbl> 307, 307, 2246, 2246, 929, 0, 0, 374, 2133…We will do the same for the HDB residential data frame.
Show the code
hdb_residential_hex <- st_intersection(hdb_residental_sf, sgmap) %>%
st_drop_geometry() %>%
select(postal, SUBZONE_N, total_dwelling_units, grid_id)
glimpse(hdb_residential_hex)Rows: 10,181
Columns: 4
$ postal <chr> "640903", "640904", "640905", "640906", "640907",…
$ SUBZONE_N <chr> "YUNNAN", "YUNNAN", "YUNNAN", "YUNNAN", "YUNNAN",…
$ total_dwelling_units <dbl> 84, 110, 28, 90, 77, 110, 110, 90, 99, 96, 77, 20…
$ grid_id <int> 664, 664, 664, 664, 664, 664, 664, 664, 692, 718,…Notice that a few postal codes can be in 1 grid, so we will use group_by() to sum up the total dwelling units in each hexagon unit.
Show the code
hdb_residential_hex1 <- hdb_residential_hex %>%
group_by(grid_id)%>%
summarise(total_res_units_grid = sum(total_dwelling_units))
glimpse(hdb_residential_hex1)Rows: 397
Columns: 2
$ grid_id <int> 664, 692, 718, 745, 746, 772, 773, 799, 800, 826,…
$ total_res_units_grid <dbl> 699, 99, 4083, 1524, 4079, 6643, 567, 3641, 4851,…Show the code
hdb_residential_hex1$grid_id <- as.factor(hdb_residential_hex1$grid_id)
od_data <- left_join(od_data, hdb_residential_hex1,
by=c("ORIGIN_GRID_ID"= "grid_id"))%>%
rename(ORIGIN_HDBRES_UNITS = total_res_units_grid)
glimpse(od_data)Rows: 243,101
Columns: 28
Groups: ORIGIN_BS [5,029]
$ ORIGIN_BS <fct> 01012, 01012, 01012, 01012, 01012, 01012, …
$ DESTIN_BS <fct> 01112, 01113, 01121, 01211, 01311, 07371, …
$ TRIPS <dbl> 290, 118, 77, 118, 165, 14, 30, 16, 35, 26…
$ ORIGIN_LOC_DESC <chr> "HOTEL GRAND PACIFIC", "HOTEL GRAND PACIFI…
$ ORIGIN_GRID_ID <fct> 2010, 2010, 2010, 2010, 2010, 2010, 2010, …
$ ORIGIN_BIZ_COUNT <int> 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21…
$ ORIGIN_FINSERV_COUNT <int> 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46…
$ ORIGIN_MRTEXIT_COUNT <int> 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, …
$ ORIGIN_BUSSTOP_COUNT <int> 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15…
$ ORIGIN_HDBCOMMERCIAL_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, …
$ ORIGIN_HDBRESIDENTIAL_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, …
$ ORIGIN_SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ ORIGIN_SZN <chr> "VICTORIA", "VICTORIA", "VICTORIA", "VICTO…
$ ORIGIN_SZ <chr> "RCSZ10", "RCSZ10", "RCSZ10", "RCSZ10", "R…
$ DESTIN_LOC_DESC <chr> "OPP BUGIS STN EXIT C", "BUGIS STN EXIT B"…
$ DESTIN_GRID_ID <fct> 2038, 2038, 2065, 2065, 2119, 2093, 2093, …
$ DESTIN_BIZ_COUNT <int> 45, 45, 22, 22, 5, 31, 31, 29, 1, 1, 34, 1…
$ DESTIN_FINSERV_COUNT <int> 53, 53, 25, 25, 40, 15, 15, 5, 6, 6, 7, 6,…
$ DESTIN_MRTEXIT_COUNT <int> 4, 4, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, …
$ DESTIN_BUSSTOP_COUNT <int> 20, 20, 9, 9, 8, 10, 10, 6, 7, 7, 10, 7, 4…
$ DESTIN_HDBCOMMERCIAL_COUNT <int> 5, 5, 21, 21, 11, 3, 3, 5, 14, 14, 0, 14, …
$ DESTIN_HDBRESIDENTIAL_COUNT <int> 10, 10, 23, 23, 15, 3, 3, 11, 35, 35, 0, 3…
$ DESTIN_SCHOOLS_COUNT <int> 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, …
$ DESTIN_SZN <chr> "VICTORIA", "BUGIS", "ROCHOR CANAL", "CRAW…
$ DESTIN_SZ <chr> "RCSZ10", "DTSZ01", "RCSZ04", "KLSZ09", "K…
$ ORIGIN_HDBCOMM_UNITS <dbl> 280, 280, 280, 280, 280, 280, 280, 280, 28…
$ DESTIN_HDBCOMM_UNITS <dbl> 307, 307, 2246, 2246, 929, 0, 0, 374, 2133…
$ ORIGIN_HDBRES_UNITS <dbl> 280, 280, 280, 280, 280, 280, 280, 280, 28…Show the code
od_data <- left_join(od_data, hdb_residential_hex1,
by=c("DESTIN_GRID_ID"= "grid_id"))%>%
rename(DESTIN_HDBRES_UNITS = total_res_units_grid)
glimpse(od_data)Rows: 243,101
Columns: 29
Groups: ORIGIN_BS [5,029]
$ ORIGIN_BS <fct> 01012, 01012, 01012, 01012, 01012, 01012, …
$ DESTIN_BS <fct> 01112, 01113, 01121, 01211, 01311, 07371, …
$ TRIPS <dbl> 290, 118, 77, 118, 165, 14, 30, 16, 35, 26…
$ ORIGIN_LOC_DESC <chr> "HOTEL GRAND PACIFIC", "HOTEL GRAND PACIFI…
$ ORIGIN_GRID_ID <fct> 2010, 2010, 2010, 2010, 2010, 2010, 2010, …
$ ORIGIN_BIZ_COUNT <int> 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21…
$ ORIGIN_FINSERV_COUNT <int> 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46…
$ ORIGIN_MRTEXIT_COUNT <int> 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, …
$ ORIGIN_BUSSTOP_COUNT <int> 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15…
$ ORIGIN_HDBCOMMERCIAL_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, …
$ ORIGIN_HDBRESIDENTIAL_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, …
$ ORIGIN_SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ ORIGIN_SZN <chr> "VICTORIA", "VICTORIA", "VICTORIA", "VICTO…
$ ORIGIN_SZ <chr> "RCSZ10", "RCSZ10", "RCSZ10", "RCSZ10", "R…
$ DESTIN_LOC_DESC <chr> "OPP BUGIS STN EXIT C", "BUGIS STN EXIT B"…
$ DESTIN_GRID_ID <fct> 2038, 2038, 2065, 2065, 2119, 2093, 2093, …
$ DESTIN_BIZ_COUNT <int> 45, 45, 22, 22, 5, 31, 31, 29, 1, 1, 34, 1…
$ DESTIN_FINSERV_COUNT <int> 53, 53, 25, 25, 40, 15, 15, 5, 6, 6, 7, 6,…
$ DESTIN_MRTEXIT_COUNT <int> 4, 4, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, …
$ DESTIN_BUSSTOP_COUNT <int> 20, 20, 9, 9, 8, 10, 10, 6, 7, 7, 10, 7, 4…
$ DESTIN_HDBCOMMERCIAL_COUNT <int> 5, 5, 21, 21, 11, 3, 3, 5, 14, 14, 0, 14, …
$ DESTIN_HDBRESIDENTIAL_COUNT <int> 10, 10, 23, 23, 15, 3, 3, 11, 35, 35, 0, 3…
$ DESTIN_SCHOOLS_COUNT <int> 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, …
$ DESTIN_SZN <chr> "VICTORIA", "BUGIS", "ROCHOR CANAL", "CRAW…
$ DESTIN_SZ <chr> "RCSZ10", "DTSZ01", "RCSZ04", "KLSZ09", "K…
$ ORIGIN_HDBCOMM_UNITS <dbl> 280, 280, 280, 280, 280, 280, 280, 280, 28…
$ DESTIN_HDBCOMM_UNITS <dbl> 307, 307, 2246, 2246, 929, 0, 0, 374, 2133…
$ ORIGIN_HDBRES_UNITS <dbl> 280, 280, 280, 280, 280, 280, 280, 280, 28…
$ DESTIN_HDBRES_UNITS <dbl> 1293, 1293, 3101, 3101, 2927, 402, 402, 19…Checking if the dataframe has any duplicate data
Show the code
duplicate8 <- od_data %>%
group_by_all() %>%
filter(n()>1) %>%
ungroup()
duplicate8# A tibble: 0 × 29
# ℹ 29 variables: ORIGIN_BS <fct>, DESTIN_BS <fct>, TRIPS <dbl>,
# ORIGIN_LOC_DESC <chr>, ORIGIN_GRID_ID <fct>, ORIGIN_BIZ_COUNT <int>,
# ORIGIN_FINSERV_COUNT <int>, ORIGIN_MRTEXIT_COUNT <int>,
# ORIGIN_BUSSTOP_COUNT <int>, ORIGIN_HDBCOMMERCIAL_COUNT <int>,
# ORIGIN_HDBRESIDENTIAL_COUNT <int>, ORIGIN_SCHOOLS_COUNT <int>,
# ORIGIN_SZN <chr>, ORIGIN_SZ <chr>, DESTIN_LOC_DESC <chr>,
# DESTIN_GRID_ID <fct>, DESTIN_BIZ_COUNT <int>, DESTIN_FINSERV_COUNT <int>, …Currently the trips are calculated from the origin busstops, but we want to analyse the commuter flows at hexagon level so we will group by the origin_grid_id and destin_grid_id, sum the trips generated from the bus stops in each hexagon grid, and take the mean of the variables counts because we have counted them at the hexagon level (so we do not want to sum them up)
Show the code
od_data2 <- od_data %>%
drop_na() %>%
group_by(ORIGIN_GRID_ID, DESTIN_GRID_ID) %>%
summarise(MORNING_PEAK = sum(TRIPS),
TORIGIN_BIZ_COUNT = ORIGIN_BIZ_COUNT,
TORIGIN_FINSERV_COUNT = ORIGIN_FINSERV_COUNT,
TORIGIN_MRTEXIT_COUNT = ORIGIN_MRTEXIT_COUNT,
TORIGIN_BUSSTOP_COUNT = ORIGIN_BUSSTOP_COUNT,
TORIGIN_HDBCOMMERCIAL_COUNT = ORIGIN_HDBCOMMERCIAL_COUNT,
TORIGIN_HDBRESIDENTIAL_COUNT = ORIGIN_HDBRESIDENTIAL_COUNT,
TORIGIN_SCHOOLS_COUNT = ORIGIN_SCHOOLS_COUNT,
TORIGIN_HDBCOMM_UNITS = ORIGIN_HDBCOMM_UNITS,
TORIGIN_HDBRES_UNITS = ORIGIN_HDBRES_UNITS,
TDESTIN_BIZ_COUNT = DESTIN_BIZ_COUNT,
TDESTIN_FINSERV_COUNT = DESTIN_FINSERV_COUNT,
TDESTIN_MRTEXIT_COUNT = DESTIN_MRTEXIT_COUNT,
TDESTIN_BUSSTOP_COUNT = DESTIN_BUSSTOP_COUNT,
TDESTIN_HDBCOMMERCIAL_COUNT = DESTIN_HDBCOMMERCIAL_COUNT,
TDESTIN_HDBRESIDENTIAL_COUNT = DESTIN_HDBRESIDENTIAL_COUNT,
TDESTIN_SCHOOLS_COUNT = DESTIN_SCHOOLS_COUNT,
TDESTIN_HDBCOMM_UNITS = DESTIN_HDBCOMM_UNITS,
TDESTIN_HDBRES_UNITS = DESTIN_HDBRES_UNITS)Show the code
glimpse(od_data2)Rows: 106,095
Columns: 21
Groups: ORIGIN_GRID_ID, DESTIN_GRID_ID [22,950]
$ ORIGIN_GRID_ID <fct> 664, 664, 664, 664, 664, 664, 664, 664, 6…
$ DESTIN_GRID_ID <fct> 664, 746, 746, 772, 772, 772, 772, 772, 7…
$ MORNING_PEAK <dbl> 9, 13, 13, 241, 241, 241, 241, 241, 241, …
$ TORIGIN_BIZ_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ TORIGIN_FINSERV_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7,…
$ TORIGIN_MRTEXIT_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ TORIGIN_BUSSTOP_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 13…
$ TORIGIN_HDBCOMMERCIAL_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 13…
$ TORIGIN_HDBRESIDENTIAL_COUNT <int> 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 45…
$ TORIGIN_SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3,…
$ TORIGIN_HDBCOMM_UNITS <dbl> 187, 187, 187, 187, 187, 187, 187, 187, 1…
$ TORIGIN_HDBRES_UNITS <dbl> 699, 699, 699, 699, 699, 699, 699, 699, 6…
$ TDESTIN_BIZ_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0,…
$ TDESTIN_FINSERV_COUNT <int> 2, 0, 0, 7, 7, 7, 7, 7, 7, 0, 3, 3, 3, 7,…
$ TDESTIN_MRTEXIT_COUNT <int> 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 5, 5, 5, 0,…
$ TDESTIN_BUSSTOP_COUNT <int> 2, 9, 9, 20, 20, 20, 20, 20, 20, 9, 11, 1…
$ TDESTIN_HDBCOMMERCIAL_COUNT <int> 2, 21, 21, 16, 16, 16, 16, 16, 16, 2, 4, …
$ TDESTIN_HDBRESIDENTIAL_COUNT <int> 8, 51, 51, 63, 63, 63, 63, 63, 63, 35, 56…
$ TDESTIN_SCHOOLS_COUNT <int> 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3,…
$ TDESTIN_HDBCOMM_UNITS <dbl> 187, 2032, 2032, 1278, 1278, 1278, 1278, …
$ TDESTIN_HDBRES_UNITS <dbl> 699, 4079, 4079, 6643, 6643, 6643, 6643, …Show the code
write_rds(od_data2, "data/rds/od_data.rds")4 Geovisualisation of OD flows
As we are not plotting intra-zonal flows, the following code chunk removes the intra-zonal flows.
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od_data_interzone <- od_data2[od_data2$ORIGIN_GRID_ID != od_data2$DESTIN_GRID_ID,]
head(od_data_interzone)# A tibble: 6 × 21
# Groups: ORIGIN_GRID_ID, DESTIN_GRID_ID [2]
ORIGIN_GRID_ID DESTIN_GRID_ID MORNING_PEAK TORIGIN_BIZ_COUNT
<fct> <fct> <dbl> <int>
1 664 746 13 0
2 664 746 13 0
3 664 772 241 0
4 664 772 241 0
5 664 772 241 0
6 664 772 241 0
# ℹ 17 more variables: TORIGIN_FINSERV_COUNT <int>,
# TORIGIN_MRTEXIT_COUNT <int>, TORIGIN_BUSSTOP_COUNT <int>,
# TORIGIN_HDBCOMMERCIAL_COUNT <int>, TORIGIN_HDBRESIDENTIAL_COUNT <int>,
# TORIGIN_SCHOOLS_COUNT <int>, TORIGIN_HDBCOMM_UNITS <dbl>,
# TORIGIN_HDBRES_UNITS <dbl>, TDESTIN_BIZ_COUNT <int>,
# TDESTIN_FINSERV_COUNT <int>, TDESTIN_MRTEXIT_COUNT <int>,
# TDESTIN_BUSSTOP_COUNT <int>, TDESTIN_HDBCOMMERCIAL_COUNT <int>, …4.1 Creating desire lines
Show the code
flowline <- od2line(flow=od_data_interzone,
zones = sgmap,
zone_code = "grid_id")
glimpse(flowline)Rows: 101,715
Columns: 22
$ ORIGIN_GRID_ID <fct> 664, 664, 664, 664, 664, 664, 664, 664, 6…
$ DESTIN_GRID_ID <fct> 746, 746, 772, 772, 772, 772, 772, 772, 7…
$ MORNING_PEAK <dbl> 13, 13, 241, 241, 241, 241, 241, 241, 1, …
$ TORIGIN_BIZ_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ TORIGIN_FINSERV_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7,…
$ TORIGIN_MRTEXIT_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ TORIGIN_BUSSTOP_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 13, 1…
$ TORIGIN_HDBCOMMERCIAL_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 13, 1…
$ TORIGIN_HDBRESIDENTIAL_COUNT <int> 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 45, 4…
$ TORIGIN_SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3,…
$ TORIGIN_HDBCOMM_UNITS <dbl> 187, 187, 187, 187, 187, 187, 187, 187, 1…
$ TORIGIN_HDBRES_UNITS <dbl> 699, 699, 699, 699, 699, 699, 699, 699, 6…
$ TDESTIN_BIZ_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 41, 4…
$ TDESTIN_FINSERV_COUNT <int> 0, 0, 7, 7, 7, 7, 7, 7, 0, 3, 3, 3, 1, 1,…
$ TDESTIN_MRTEXIT_COUNT <int> 0, 0, 2, 2, 2, 2, 2, 2, 0, 5, 5, 5, 0, 0,…
$ TDESTIN_BUSSTOP_COUNT <int> 9, 9, 20, 20, 20, 20, 20, 20, 9, 11, 11, …
$ TDESTIN_HDBCOMMERCIAL_COUNT <int> 21, 21, 16, 16, 16, 16, 16, 16, 2, 4, 4, …
$ TDESTIN_HDBRESIDENTIAL_COUNT <int> 51, 51, 63, 63, 63, 63, 63, 63, 35, 56, 5…
$ TDESTIN_SCHOOLS_COUNT <int> 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0,…
$ TDESTIN_HDBCOMM_UNITS <dbl> 2032, 2032, 1278, 1278, 1278, 1278, 1278,…
$ TDESTIN_HDBRES_UNITS <dbl> 4079, 4079, 6643, 6643, 6643, 6643, 6643,…
$ geometry <LINESTRING [m]> LINESTRING (11292.54 35883....…Let us take a look at the summary statistics of the morning peak trips using summary().
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summary(flowline$MORNING_PEAK) Min. 1st Qu. Median Mean 3rd Qu. Max.
1 63 300 1826 1297 87864 From the above output, we see that the range of morning peak trips is wide. The number of trips can be as low as one and as high as 87,864. We can also deduce that the trips volume is extreme by looking at the difference between mean and median values. The mean is 1826 while the median is 300, meaning that there are few extreme high values (hence causing a relatively high mean) and many extreme low values (causing a relatively low median).
Let us break he morning peak trips into the various quantiles from 10th to the 100th quantile.
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quantile(flowline$MORNING_PEAK, probs = seq(.1, 1, by =.05)) 10% 15% 20% 25% 30% 35% 40% 45% 50% 55% 60% 65% 70%
15 27 42 63 92 127 171 224 300 394 533 711 941
75% 80% 85% 90% 95% 100%
1297 1858 2707 4192 8295 87864 Let us plot out the flowlines from the 95th percentile onwards.
tm_shape(sgmap) +
tm_polygons("BUSSTOPS_COUNT") +
flowline %>%
filter(MORNING_PEAK >= 8295) %>%
tm_shape() +
tm_lines(lwd = "MORNING_PEAK",
style = "quantile",
scale = c(0.1, 1, 3, 5, 7, 10),
n = 6,
alpha = 0.3)+
tm_layout(main.title = "Flow for Passenger Volume at 95th Percentile and Above",
main.title.size = 0.9,
main.title.position = "center")
flowline_95 <- flowline %>%
filter(flowline$MORNING_PEAK >= 8295)
datatable(flowline_95)Let us visualise the distribution of the trips from the 95th percentile and above using a histogram.
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ggplot(flowline_95, aes(x=MORNING_PEAK))+
geom_histogram(binwidth = 2000, fill="#69b3a2", color="#e9ecef", alpha=0.9)+
xlim(8000, 87900)
From the above output, we see that there are many
We will use summary() to look at the summary statistics for the
Show the code
summary(flowline_95$MORNING_PEAK) Min. 1st Qu. Median Mean 3rd Qu. Max.
8295 10573 13881 19180 22622 87864 Show the code
tmap_mode("plot")
tm_shape(sgmap) +
tm_polygons("BUSSTOPS_COUNT") +
flowline %>%
filter(MORNING_PEAK >= 8295, MORNING_PEAK<11000) %>%
tm_shape() +
tm_lines(lwd = "MORNING_PEAK",
style = "quantile",
scale = c(0.1, 1, 3, 5, 7, 10),
n = 6,
alpha = 0.3)+
tm_layout(main.title = "Flow for Passenger Volume between 8295 and 11000",
main.title.size = 0.9,
main.title.position = "center")
Show the code
tm_shape(sgmap) +
tm_polygons("BUSSTOPS_COUNT") +
flowline %>%
filter(MORNING_PEAK>= 11000, MORNING_PEAK<14000) %>%
tm_shape() +
tm_lines(lwd = "MORNING_PEAK",
style = "quantile",
scale = c(0.1, 1, 3, 5, 7, 10),
n = 6,
alpha = 0.3)+
tm_layout(main.title = "Flow for Passenger Volume between 11000 and 14000",
main.title.size = 0.9,
main.title.position = "center")
Show the code
tm_shape(sgmap) +
tm_polygons("BUSSTOPS_COUNT") +
flowline %>%
filter(MORNING_PEAK >= 14000, MORNING_PEAK<23000) %>%
tm_shape() +
tm_lines(lwd = "MORNING_PEAK",
style = "quantile",
scale = c(0.1, 1, 3, 5, 7, 10),
n = 6,
alpha = 0.3)+
tm_layout(main.title = "Flow for Passenger Volume between 14000 and 23000",
main.title.size = 0.9,
main.title.position = "center")
Show the code
tm_shape(sgmap) +
tm_polygons("BUSSTOPS_COUNT") +
flowline %>%
filter(MORNING_PEAK >= 23000) %>%
tm_shape() +
tm_lines(lwd = "MORNING_PEAK",
style = "quantile",
scale = c(0.1, 1, 3, 5, 7, 10),
n = 6,
alpha = 0.3)+
tm_layout(main.title = "Flow for Passenger Volume more than or equals to 23000",
main.title.size = 0.9,
main.title.position = "center")
5 Computing Distance Matrix
In spatial interaction, a distance matrix is a table that shows the distance between pairs of locations. We will compute a distance matrix using the sgmap which is the hexagon grid of mpsz.
First we will use as.Spatial() to convert sgmap from sf tibble dataframe to Spatial Polygons Dataframe using sp package.
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sgmap_sp <- as(sgmap, "Spatial")
sgmap_spclass : SpatialPolygonsDataFrame
features : 1945
extent : 2292.538, 57042.54, 15315.71, 50606.24 (xmin, xmax, ymin, ymax)
crs : +proj=tmerc +lat_0=1.36666666666667 +lon_0=103.833333333333 +k=1 +x_0=28001.642 +y_0=38744.572 +ellps=WGS84 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs
variables : 9
names : grid_id, SG, BIZ_COUNT, FINSERV_COUNT, MRTEXIT_COUNT, BUSSTOPS_COUNT, HDBCOMMERCIAL_COUNT, HDBRESIDENTIAL_COUNT, SCHOOLS_COUNT
min values : 33, 1, 0, 0, 0, 0, 0, 0, 0
max values : 3937, 11, 126, 176, 19, 20, 27, 75, 4 Then we will use the spDist() function of sp package to compute the Euclidean distance between the centriods of the planning subzones.
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DIST <- spDists(sgmap_sp,
longlat = FALSE)
head(DIST, n=c(10,10)) [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8]
[1,] 0.000 1299.038 2598.076 3897.114 5196.152 750.000 1984.313 3269.174
[2,] 1299.038 0.000 1299.038 2598.076 3897.114 750.000 750.000 1984.313
[3,] 2598.076 1299.038 0.000 1299.038 2598.076 1984.313 750.000 750.000
[4,] 3897.114 2598.076 1299.038 0.000 1299.038 3269.174 1984.313 750.000
[5,] 5196.152 3897.114 2598.076 1299.038 0.000 4562.072 3269.174 1984.313
[6,] 750.000 750.000 1984.313 3269.174 4562.072 0.000 1299.038 2598.076
[7,] 1984.313 750.000 750.000 1984.313 3269.174 1299.038 0.000 1299.038
[8,] 3269.174 1984.313 750.000 750.000 1984.313 2598.076 1299.038 0.000
[9,] 4562.072 3269.174 1984.313 750.000 750.000 3897.114 2598.076 1299.038
[10,] 5857.687 4562.072 3269.174 1984.313 750.000 5196.152 3897.114 2598.076
[,9] [,10]
[1,] 4562.072 5857.687
[2,] 3269.174 4562.072
[3,] 1984.313 3269.174
[4,] 750.000 1984.313
[5,] 750.000 750.000
[6,] 3897.114 5196.152
[7,] 2598.076 3897.114
[8,] 1299.038 2598.076
[9,] 0.000 1299.038
[10,] 1299.038 0.0005.1 Labelling Column and Row Headers of Distance Matrix
To label the column and row headers of the distance matrix DIST, we will first create a list sorted according to the distance matric by grid_id.
Show the code
hex_grid_id <- sgmap$grid_idThen, we will attach the grid_id to the rows and columns of the distance matrix.
Show the code
colnames(DIST) <- paste0(hex_grid_id)
rownames(DIST) <- paste0(hex_grid_id)
head(DIST, n=c(10,10)) 33 34 35 36 37 60 61 62
33 0.000 1299.038 2598.076 3897.114 5196.152 750.000 1984.313 3269.174
34 1299.038 0.000 1299.038 2598.076 3897.114 750.000 750.000 1984.313
35 2598.076 1299.038 0.000 1299.038 2598.076 1984.313 750.000 750.000
36 3897.114 2598.076 1299.038 0.000 1299.038 3269.174 1984.313 750.000
37 5196.152 3897.114 2598.076 1299.038 0.000 4562.072 3269.174 1984.313
60 750.000 750.000 1984.313 3269.174 4562.072 0.000 1299.038 2598.076
61 1984.313 750.000 750.000 1984.313 3269.174 1299.038 0.000 1299.038
62 3269.174 1984.313 750.000 750.000 1984.313 2598.076 1299.038 0.000
63 4562.072 3269.174 1984.313 750.000 750.000 3897.114 2598.076 1299.038
64 5857.687 4562.072 3269.174 1984.313 750.000 5196.152 3897.114 2598.076
63 64
33 4562.072 5857.687
34 3269.174 4562.072
35 1984.313 3269.174
36 750.000 1984.313
37 750.000 750.000
60 3897.114 5196.152
61 2598.076 3897.114
62 1299.038 2598.076
63 0.000 1299.038
64 1299.038 0.0005.2 Pivoting Distance Value by Grid_ID
We will then pivot the distance matrix into a long table using the row and column grid_id as shown in the following code chunk.
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distpair <- melt(DIST) %>%
rename(DISTANCE = value)
head(distpair, 10) Var1 Var2 DISTANCE
1 33 33 0.000
2 34 33 1299.038
3 35 33 2598.076
4 36 33 3897.114
5 37 33 5196.152
6 60 33 750.000
7 61 33 1984.313
8 62 33 3269.174
9 63 33 4562.072
10 64 33 5857.687Notice that the within zone distance is 0.
5.3 Updating Intra-zonal Distances
To append a constant value to replace the intra-zonal distance of 0, we will select and find out the minimum value of the distance using summary().
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distpair %>%
filter(DISTANCE > 0) %>%
summary() Var1 Var2 DISTANCE
Min. : 33 Min. : 33 Min. : 750
1st Qu.: 966 1st Qu.: 966 1st Qu.:10894
Median :1667 Median :1667 Median :17477
Mean :1752 Mean :1752 Mean :18932
3rd Qu.:2420 3rd Qu.:2420 3rd Qu.:25401
Max. :3937 Max. :3937 Max. :57862 Next, we add a constant value of 300m, which is less than the minimum distance of 750m (from the above output) into intra-zones distance.
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distpair$DISTANCE <- ifelse(distpair$DISTANCE == 0,
300, distpair$DISTANCE)
distpair %>%
summary() Var1 Var2 DISTANCE
Min. : 33 Min. : 33 Min. : 300
1st Qu.: 966 1st Qu.: 966 1st Qu.:10894
Median :1667 Median :1667 Median :17477
Mean :1752 Mean :1752 Mean :18923
3rd Qu.:2420 3rd Qu.:2420 3rd Qu.:25401
Max. :3937 Max. :3937 Max. :57862 We use the following code chunk to rename the origin and destination fields.
Show the code
distpair <- distpair %>%
rename(orig = Var1,
dest = Var2)We will save the dataframe for future use.
write_rds(distpair, "data/rds/distpair.rds")6 Preparing Flow Data
We will compute the total passenger trip between and within grid_ids by using the code chunk below. The output will have both intra and inter-grid flow data.
Show the code
flow_data <- od_data2 %>%
rename(TRIPS = MORNING_PEAK )
head(flow_data, 10)# A tibble: 10 × 21
# Groups: ORIGIN_GRID_ID, DESTIN_GRID_ID [4]
ORIGIN_GRID_ID DESTIN_GRID_ID TRIPS TORIGIN_BIZ_COUNT TORIGIN_FINSERV_COUNT
<fct> <fct> <dbl> <int> <int>
1 664 664 9 0 2
2 664 746 13 0 2
3 664 746 13 0 2
4 664 772 241 0 2
5 664 772 241 0 2
6 664 772 241 0 2
7 664 772 241 0 2
8 664 772 241 0 2
9 664 772 241 0 2
10 664 799 1 0 2
# ℹ 16 more variables: TORIGIN_MRTEXIT_COUNT <int>,
# TORIGIN_BUSSTOP_COUNT <int>, TORIGIN_HDBCOMMERCIAL_COUNT <int>,
# TORIGIN_HDBRESIDENTIAL_COUNT <int>, TORIGIN_SCHOOLS_COUNT <int>,
# TORIGIN_HDBCOMM_UNITS <dbl>, TORIGIN_HDBRES_UNITS <dbl>,
# TDESTIN_BIZ_COUNT <int>, TDESTIN_FINSERV_COUNT <int>,
# TDESTIN_MRTEXIT_COUNT <int>, TDESTIN_BUSSTOP_COUNT <int>,
# TDESTIN_HDBCOMMERCIAL_COUNT <int>, TDESTIN_HDBRESIDENTIAL_COUNT <int>, …Code chunk below is used to add three new fields in flow_data dataframe.
Show the code
flow_data$FlowNoIntra <- ifelse(
flow_data$ORIGIN_GRID_ID == flow_data$DESTIN_GRID_ID,
0, flow_data$TRIPS)
flow_data$offset <- ifelse(
flow_data$ORIGIN_GRID_ID == flow_data$DESTIN_GRID_ID,
0.000001, 1)
glimpse(flow_data)Rows: 106,095
Columns: 23
Groups: ORIGIN_GRID_ID, DESTIN_GRID_ID [22,950]
$ ORIGIN_GRID_ID <fct> 664, 664, 664, 664, 664, 664, 664, 664, 6…
$ DESTIN_GRID_ID <fct> 664, 746, 746, 772, 772, 772, 772, 772, 7…
$ TRIPS <dbl> 9, 13, 13, 241, 241, 241, 241, 241, 241, …
$ TORIGIN_BIZ_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ TORIGIN_FINSERV_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7,…
$ TORIGIN_MRTEXIT_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ TORIGIN_BUSSTOP_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 13…
$ TORIGIN_HDBCOMMERCIAL_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 13…
$ TORIGIN_HDBRESIDENTIAL_COUNT <int> 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 45…
$ TORIGIN_SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3,…
$ TORIGIN_HDBCOMM_UNITS <dbl> 187, 187, 187, 187, 187, 187, 187, 187, 1…
$ TORIGIN_HDBRES_UNITS <dbl> 699, 699, 699, 699, 699, 699, 699, 699, 6…
$ TDESTIN_BIZ_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0,…
$ TDESTIN_FINSERV_COUNT <int> 2, 0, 0, 7, 7, 7, 7, 7, 7, 0, 3, 3, 3, 7,…
$ TDESTIN_MRTEXIT_COUNT <int> 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 5, 5, 5, 0,…
$ TDESTIN_BUSSTOP_COUNT <int> 2, 9, 9, 20, 20, 20, 20, 20, 20, 9, 11, 1…
$ TDESTIN_HDBCOMMERCIAL_COUNT <int> 2, 21, 21, 16, 16, 16, 16, 16, 16, 2, 4, …
$ TDESTIN_HDBRESIDENTIAL_COUNT <int> 8, 51, 51, 63, 63, 63, 63, 63, 63, 35, 56…
$ TDESTIN_SCHOOLS_COUNT <int> 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3,…
$ TDESTIN_HDBCOMM_UNITS <dbl> 187, 2032, 2032, 1278, 1278, 1278, 1278, …
$ TDESTIN_HDBRES_UNITS <dbl> 699, 4079, 4079, 6643, 6643, 6643, 6643, …
$ FlowNoIntra <dbl> 0, 13, 13, 241, 241, 241, 241, 241, 241, …
$ offset <dbl> 1e-06, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00,…Before we join the flow_data and dispair data, let us take a look at the distpair data.
Show the code
glimpse(distpair)Rows: 3,783,025
Columns: 3
$ orig <int> 33, 34, 35, 36, 37, 60, 61, 62, 63, 64, 87, 88, 89, 90, 91, 9…
$ dest <int> 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 3…
$ DISTANCE <dbl> 300.000, 1299.038, 2598.076, 3897.114, 5196.152, 750.000, 198…We need to convert the data value type of orgi and dest fields of distpair dataframe into factor data type. Otherwise, we would not be able to perform the left join.
Show the code
distpair$orig <- as.factor(distpair$orig)
distpair$dest <- as.factor(distpair$dest)
glimpse(distpair)Rows: 3,783,025
Columns: 3
$ orig <fct> 33, 34, 35, 36, 37, 60, 61, 62, 63, 64, 87, 88, 89, 90, 91, 9…
$ dest <fct> 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 33, 3…
$ DISTANCE <dbl> 300.000, 1299.038, 2598.076, 3897.114, 5196.152, 750.000, 198…Now, left_join() of dplyr will be used to flow_data dataframe and distPair dataframe. The output is called flow_data1.
Show the code
flow_data1 <- flow_data %>%
left_join (distpair,
by = c("ORIGIN_GRID_ID" = "orig",
"DESTIN_GRID_ID" = "dest"))
glimpse(flow_data1)Rows: 106,095
Columns: 24
Groups: ORIGIN_GRID_ID, DESTIN_GRID_ID [22,950]
$ ORIGIN_GRID_ID <fct> 664, 664, 664, 664, 664, 664, 664, 664, 6…
$ DESTIN_GRID_ID <fct> 664, 746, 746, 772, 772, 772, 772, 772, 7…
$ TRIPS <dbl> 9, 13, 13, 241, 241, 241, 241, 241, 241, …
$ TORIGIN_BIZ_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ TORIGIN_FINSERV_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7,…
$ TORIGIN_MRTEXIT_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ TORIGIN_BUSSTOP_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 13…
$ TORIGIN_HDBCOMMERCIAL_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 13…
$ TORIGIN_HDBRESIDENTIAL_COUNT <int> 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 45…
$ TORIGIN_SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3,…
$ TORIGIN_HDBCOMM_UNITS <dbl> 187, 187, 187, 187, 187, 187, 187, 187, 1…
$ TORIGIN_HDBRES_UNITS <dbl> 699, 699, 699, 699, 699, 699, 699, 699, 6…
$ TDESTIN_BIZ_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0,…
$ TDESTIN_FINSERV_COUNT <int> 2, 0, 0, 7, 7, 7, 7, 7, 7, 0, 3, 3, 3, 7,…
$ TDESTIN_MRTEXIT_COUNT <int> 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 5, 5, 5, 0,…
$ TDESTIN_BUSSTOP_COUNT <int> 2, 9, 9, 20, 20, 20, 20, 20, 20, 9, 11, 1…
$ TDESTIN_HDBCOMMERCIAL_COUNT <int> 2, 21, 21, 16, 16, 16, 16, 16, 16, 2, 4, …
$ TDESTIN_HDBRESIDENTIAL_COUNT <int> 8, 51, 51, 63, 63, 63, 63, 63, 63, 35, 56…
$ TDESTIN_SCHOOLS_COUNT <int> 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3,…
$ TDESTIN_HDBCOMM_UNITS <dbl> 187, 2032, 2032, 1278, 1278, 1278, 1278, …
$ TDESTIN_HDBRES_UNITS <dbl> 699, 4079, 4079, 6643, 6643, 6643, 6643, …
$ FlowNoIntra <dbl> 0, 13, 13, 241, 241, 241, 241, 241, 241, …
$ offset <dbl> 1e-06, 1e+00, 1e+00, 1e+00, 1e+00, 1e+00,…
$ DISTANCE <dbl> 300.000, 1299.038, 1299.038, 1500.000, 15…We will filter out those intra-zonal flows using the FlowNoIntra column.
Show the code
inter_zonal_flow <- flow_data1 %>%
filter(FlowNoIntra > 0)
glimpse(inter_zonal_flow)Rows: 101,715
Columns: 24
Groups: ORIGIN_GRID_ID, DESTIN_GRID_ID [22,619]
$ ORIGIN_GRID_ID <fct> 664, 664, 664, 664, 664, 664, 664, 664, 6…
$ DESTIN_GRID_ID <fct> 746, 746, 772, 772, 772, 772, 772, 772, 7…
$ TRIPS <dbl> 13, 13, 241, 241, 241, 241, 241, 241, 1, …
$ TORIGIN_BIZ_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ TORIGIN_FINSERV_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7,…
$ TORIGIN_MRTEXIT_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ TORIGIN_BUSSTOP_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 13, 1…
$ TORIGIN_HDBCOMMERCIAL_COUNT <int> 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 13, 1…
$ TORIGIN_HDBRESIDENTIAL_COUNT <int> 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 45, 4…
$ TORIGIN_SCHOOLS_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3,…
$ TORIGIN_HDBCOMM_UNITS <dbl> 187, 187, 187, 187, 187, 187, 187, 187, 1…
$ TORIGIN_HDBRES_UNITS <dbl> 699, 699, 699, 699, 699, 699, 699, 699, 6…
$ TDESTIN_BIZ_COUNT <int> 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 41, 4…
$ TDESTIN_FINSERV_COUNT <int> 0, 0, 7, 7, 7, 7, 7, 7, 0, 3, 3, 3, 1, 1,…
$ TDESTIN_MRTEXIT_COUNT <int> 0, 0, 2, 2, 2, 2, 2, 2, 0, 5, 5, 5, 0, 0,…
$ TDESTIN_BUSSTOP_COUNT <int> 9, 9, 20, 20, 20, 20, 20, 20, 9, 11, 11, …
$ TDESTIN_HDBCOMMERCIAL_COUNT <int> 21, 21, 16, 16, 16, 16, 16, 16, 2, 4, 4, …
$ TDESTIN_HDBRESIDENTIAL_COUNT <int> 51, 51, 63, 63, 63, 63, 63, 63, 35, 56, 5…
$ TDESTIN_SCHOOLS_COUNT <int> 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0,…
$ TDESTIN_HDBCOMM_UNITS <dbl> 2032, 2032, 1278, 1278, 1278, 1278, 1278,…
$ TDESTIN_HDBRES_UNITS <dbl> 4079, 4079, 6643, 6643, 6643, 6643, 6643,…
$ FlowNoIntra <dbl> 13, 13, 241, 241, 241, 241, 241, 241, 1, …
$ offset <dbl> 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,…
$ DISTANCE <dbl> 1299.038, 1299.038, 1500.000, 1500.000, 1…Since Poisson Regression is based of log and log 0 is undefined, it is important for us to ensure that no 0 values in the explanatory variables.
In the code chunk below, summary() of Base R is used to compute the summary statistics of all variables in inter_zonal_flow data frame.
Show the code
summary(inter_zonal_flow) ORIGIN_GRID_ID DESTIN_GRID_ID TRIPS TORIGIN_BIZ_COUNT
2314 : 1067 2010 : 1381 Min. : 1 Min. : 0.000
1990 : 1019 2038 : 1194 1st Qu.: 63 1st Qu.: 0.000
2177 : 924 2177 : 1012 Median : 300 Median : 0.000
1987 : 921 2314 : 1000 Mean : 1826 Mean : 4.668
2038 : 871 1990 : 931 3rd Qu.: 1297 3rd Qu.: 4.000
1123 : 793 1987 : 883 Max. :87864 Max. :126.000
(Other):96120 (Other):95314
TORIGIN_FINSERV_COUNT TORIGIN_MRTEXIT_COUNT TORIGIN_BUSSTOP_COUNT
Min. : 0.000 Min. :0.000 Min. : 1.000
1st Qu.: 2.000 1st Qu.:0.000 1st Qu.: 7.000
Median : 5.000 Median :0.000 Median : 9.000
Mean : 8.677 Mean :1.309 Mean : 9.705
3rd Qu.:11.000 3rd Qu.:2.000 3rd Qu.:12.000
Max. :53.000 Max. :9.000 Max. :20.000
TORIGIN_HDBCOMMERCIAL_COUNT TORIGIN_HDBRESIDENTIAL_COUNT TORIGIN_SCHOOLS_COUNT
Min. : 1.000 Min. : 1.00 Min. :0.0000
1st Qu.: 4.000 1st Qu.:14.00 1st Qu.:0.0000
Median : 7.000 Median :31.00 Median :1.0000
Mean : 8.641 Mean :31.15 Mean :0.8801
3rd Qu.:12.000 3rd Qu.:44.00 3rd Qu.:1.0000
Max. :27.000 Max. :75.00 Max. :4.0000
TORIGIN_HDBCOMM_UNITS TORIGIN_HDBRES_UNITS TDESTIN_BIZ_COUNT
Min. : 0.0 Min. : 8 Min. : 0.000
1st Qu.: 248.0 1st Qu.:1672 1st Qu.: 0.000
Median : 537.0 Median :3239 Median : 1.000
Mean : 680.4 Mean :3334 Mean : 5.237
3rd Qu.: 960.0 3rd Qu.:4708 3rd Qu.: 5.000
Max. :2453.0 Max. :8324 Max. :126.000
TDESTIN_FINSERV_COUNT TDESTIN_MRTEXIT_COUNT TDESTIN_BUSSTOP_COUNT
Min. : 0.000 Min. :0.0 Min. : 1.000
1st Qu.: 2.000 1st Qu.:0.0 1st Qu.: 7.000
Median : 5.000 Median :0.0 Median : 9.000
Mean : 9.421 Mean :1.4 Mean : 9.771
3rd Qu.:11.000 3rd Qu.:2.0 3rd Qu.:12.000
Max. :53.000 Max. :9.0 Max. :20.000
TDESTIN_HDBCOMMERCIAL_COUNT TDESTIN_HDBRESIDENTIAL_COUNT TDESTIN_SCHOOLS_COUNT
Min. : 1.000 Min. : 1.00 Min. :0.0000
1st Qu.: 4.000 1st Qu.:13.00 1st Qu.:0.0000
Median : 7.000 Median :30.00 Median :1.0000
Mean : 8.512 Mean :30.24 Mean :0.8505
3rd Qu.:12.000 3rd Qu.:43.00 3rd Qu.:1.0000
Max. :27.000 Max. :75.00 Max. :4.0000
TDESTIN_HDBCOMM_UNITS TDESTIN_HDBRES_UNITS FlowNoIntra offset
Min. : 0.0 Min. : 8 Min. : 1 Min. :1
1st Qu.: 247.0 1st Qu.:1560 1st Qu.: 63 1st Qu.:1
Median : 522.0 Median :3213 Median : 300 Median :1
Mean : 671.6 Mean :3249 Mean : 1826 Mean :1
3rd Qu.: 957.0 3rd Qu.:4601 3rd Qu.: 1297 3rd Qu.:1
Max. :2453.0 Max. :8324 Max. :87864 Max. :1
DISTANCE
Min. : 750
1st Qu.: 1500
Median : 3269
Mean : 4498
3rd Qu.: 6408
Max. :25200
The print report above reveals that variables TORIGIN_BIZ_COUNT, TORIGIN_FINSERV_COUNT, TORIGIN_MRTEXIT_COUNT, TORIGIN_SCHOOLS_COUNT, TORIGIN_HDBCOMM_UNITS, TDESTIN_BIZ_COUNT, TDESTIN_FINSERV_COUNT, TDESTIN_MRTEXIT_COUNT,TDESTIN_SCHOOLS_COUNT, TDESTIN_HDBCOMM_UNITS consist of 0 values.
We will use the following code chunk to replace 0 values with 0.99.
Show the code
inter_zonal_flow$TORIGIN_BIZ_COUNT <- ifelse(
inter_zonal_flow$TORIGIN_BIZ_COUNT == 0,
0.99, inter_zonal_flow$TORIGIN_BIZ_COUNT)
inter_zonal_flow$TORIGIN_FINSERV_COUNT <- ifelse(
inter_zonal_flow$TORIGIN_FINSERV_COUNT == 0,
0.99, inter_zonal_flow$TORIGIN_FINSERV_COUNT)
inter_zonal_flow$TORIGIN_MRTEXIT_COUNT <- ifelse(
inter_zonal_flow$TORIGIN_MRTEXIT_COUNT == 0,
0.99, inter_zonal_flow$TORIGIN_MRTEXIT_COUNT)
inter_zonal_flow$TORIGIN_BUSSTOP_COUNT <- ifelse(
inter_zonal_flow$TORIGIN_BUSSTOP_COUNT == 0,
0.99, inter_zonal_flow$TORIGIN_BUSSTOP_COUNT)
inter_zonal_flow$TORIGIN_HDBCOMMERCIAL_COUNT <- ifelse(
inter_zonal_flow$TORIGIN_HDBCOMMERCIAL_COUNT == 0,
0.99, inter_zonal_flow$TORIGIN_HDBCOMMERCIAL_COUNT)
inter_zonal_flow$TORIGIN_HDBRESIDENTIAL_COUNT <- ifelse(
inter_zonal_flow$TORIGIN_HDBRESIDENTIAL_COUNT == 0,
0.99, inter_zonal_flow$TORIGIN_HDBRESIDENTIAL_COUNT)
inter_zonal_flow$TORIGIN_SCHOOLS_COUNT <- ifelse(
inter_zonal_flow$TORIGIN_SCHOOLS_COUNT == 0,
0.99, inter_zonal_flow$TORIGIN_SCHOOLS_COUNT)
inter_zonal_flow$TORIGIN_HDBCOMM_UNITS <- ifelse(
inter_zonal_flow$TORIGIN_HDBCOMM_UNITS == 0,
0.99, inter_zonal_flow$TORIGIN_HDBCOMM_UNITS)
inter_zonal_flow$TORIGIN_HDBRES_UNITS <- ifelse(
inter_zonal_flow$TORIGIN_HDBRES_UNITS == 0,
0.99, inter_zonal_flow$TORIGIN_HDBRES_UNITS)
inter_zonal_flow$TDESTIN_BIZ_COUNT <- ifelse(
inter_zonal_flow$TDESTIN_BIZ_COUNT == 0,
0.99, inter_zonal_flow$TDESTIN_BIZ_COUNT)
inter_zonal_flow$TDESTIN_FINSERV_COUNT <- ifelse(
inter_zonal_flow$TDESTIN_FINSERV_COUNT == 0,
0.99, inter_zonal_flow$TDESTIN_FINSERV_COUNT)
inter_zonal_flow$TDESTIN_MRTEXIT_COUNT <- ifelse(
inter_zonal_flow$TDESTIN_MRTEXIT_COUNT == 0,
0.99, inter_zonal_flow$TDESTIN_MRTEXIT_COUNT)
inter_zonal_flow$TDESTIN_BUSSTOP_COUNT <- ifelse(
inter_zonal_flow$TDESTIN_BUSSTOP_COUNT == 0,
0.99, inter_zonal_flow$TDESTIN_BUSSTOP_COUNT)
inter_zonal_flow$TDESTIN_HDBCOMMERCIAL_COUNT <- ifelse(
inter_zonal_flow$TDESTIN_HDBCOMMERCIAL_COUNT == 0,
0.99, inter_zonal_flow$TDESTIN_HDBCOMMERCIAL_COUNT)
inter_zonal_flow$TDESTIN_HDBRESIDENTIAL_COUNT <- ifelse(
inter_zonal_flow$TDESTIN_HDBRESIDENTIAL_COUNT == 0,
0.99, inter_zonal_flow$TDESTIN_HDBRESIDENTIAL_COUNT)
inter_zonal_flow$TDESTIN_SCHOOLS_COUNT <- ifelse(
inter_zonal_flow$TDESTIN_SCHOOLS_COUNT == 0,
0.99, inter_zonal_flow$TDESTIN_SCHOOLS_COUNT)
inter_zonal_flow$TDESTIN_HDBCOMM_UNITS <- ifelse(
inter_zonal_flow$TDESTIN_HDBCOMM_UNITS == 0,
0.99, inter_zonal_flow$TDESTIN_HDBCOMM_UNITS)
inter_zonal_flow$TDESTIN_HDBRES_UNITS <- ifelse(
inter_zonal_flow$TDESTIN_HDBRES_UNITS == 0,
0.99, inter_zonal_flow$TDESTIN_HDBRES_UNITS)We run summary() again to confirm that the 0 values have been replaced with 0.99.
Show the code
summary(inter_zonal_flow) ORIGIN_GRID_ID DESTIN_GRID_ID TRIPS TORIGIN_BIZ_COUNT
2314 : 1067 2010 : 1381 Min. : 1 Min. : 0.990
1990 : 1019 2038 : 1194 1st Qu.: 63 1st Qu.: 0.990
2177 : 924 2177 : 1012 Median : 300 Median : 0.990
1987 : 921 2314 : 1000 Mean : 1826 Mean : 5.165
2038 : 871 1990 : 931 3rd Qu.: 1297 3rd Qu.: 4.000
1123 : 793 1987 : 883 Max. :87864 Max. :126.000
(Other):96120 (Other):95314
TORIGIN_FINSERV_COUNT TORIGIN_MRTEXIT_COUNT TORIGIN_BUSSTOP_COUNT
Min. : 0.990 Min. :0.99 Min. : 1.000
1st Qu.: 2.000 1st Qu.:0.99 1st Qu.: 7.000
Median : 5.000 Median :0.99 Median : 9.000
Mean : 8.832 Mean :1.87 Mean : 9.705
3rd Qu.:11.000 3rd Qu.:2.00 3rd Qu.:12.000
Max. :53.000 Max. :9.00 Max. :20.000
TORIGIN_HDBCOMMERCIAL_COUNT TORIGIN_HDBRESIDENTIAL_COUNT TORIGIN_SCHOOLS_COUNT
Min. : 1.000 Min. : 1.00 Min. :0.990
1st Qu.: 4.000 1st Qu.:14.00 1st Qu.:0.990
Median : 7.000 Median :31.00 Median :1.000
Mean : 8.641 Mean :31.15 Mean :1.282
3rd Qu.:12.000 3rd Qu.:44.00 3rd Qu.:1.000
Max. :27.000 Max. :75.00 Max. :4.000
TORIGIN_HDBCOMM_UNITS TORIGIN_HDBRES_UNITS TDESTIN_BIZ_COUNT
Min. : 0.99 Min. : 8 Min. : 0.990
1st Qu.: 248.00 1st Qu.:1672 1st Qu.: 0.990
Median : 537.00 Median :3239 Median : 1.000
Mean : 680.48 Mean :3334 Mean : 5.714
3rd Qu.: 960.00 3rd Qu.:4708 3rd Qu.: 5.000
Max. :2453.00 Max. :8324 Max. :126.000
TDESTIN_FINSERV_COUNT TDESTIN_MRTEXIT_COUNT TDESTIN_BUSSTOP_COUNT
Min. : 0.990 Min. :0.99 Min. : 1.000
1st Qu.: 2.000 1st Qu.:0.99 1st Qu.: 7.000
Median : 5.000 Median :0.99 Median : 9.000
Mean : 9.569 Mean :1.95 Mean : 9.771
3rd Qu.:11.000 3rd Qu.:2.00 3rd Qu.:12.000
Max. :53.000 Max. :9.00 Max. :20.000
TDESTIN_HDBCOMMERCIAL_COUNT TDESTIN_HDBRESIDENTIAL_COUNT TDESTIN_SCHOOLS_COUNT
Min. : 1.000 Min. : 1.00 Min. :0.990
1st Qu.: 4.000 1st Qu.:13.00 1st Qu.:0.990
Median : 7.000 Median :30.00 Median :1.000
Mean : 8.512 Mean :30.24 Mean :1.271
3rd Qu.:12.000 3rd Qu.:43.00 3rd Qu.:1.000
Max. :27.000 Max. :75.00 Max. :4.000
TDESTIN_HDBCOMM_UNITS TDESTIN_HDBRES_UNITS FlowNoIntra offset
Min. : 0.99 Min. : 8 Min. : 1 Min. :1
1st Qu.: 247.00 1st Qu.:1560 1st Qu.: 63 1st Qu.:1
Median : 522.00 Median :3213 Median : 300 Median :1
Mean : 671.62 Mean :3249 Mean : 1826 Mean :1
3rd Qu.: 957.00 3rd Qu.:4601 3rd Qu.: 1297 3rd Qu.:1
Max. :2453.00 Max. :8324 Max. :87864 Max. :1
DISTANCE
Min. : 750
1st Qu.: 1500
Median : 3269
Mean : 4498
3rd Qu.: 6408
Max. :25200
7 Calibrating Spatial Interaction Models
Firstly, let us plot the distribution of the dependent variable (i.e. TRIPS) by using histogram method by using the code chunk below.
Show the code
ggplot(data=inter_zonal_flow,
aes(x=TRIPS)) +
geom_histogram()
From the output, we observe that the distribution is highly skewed and does not resemble a normal distribution.
Next, let us visualise the relation between the dependent variable and one of the key independent variable in Spatial Interaction Model, namely distance.
Show the code
ggplot(data = inter_zonal_flow,
aes(x = DISTANCE,
y = TRIPS)) +
geom_point() +
geom_smooth(method = lm)
Again, their relationship hardly resemble linear relationship.
On the other hand, if we plot the scatter plot by using the log transformed version of both variables using the following code chunk, we can see that their relationship more resembles a linear relationship.
Show the code
ggplot(data = inter_zonal_flow,
aes(x = log(DISTANCE),
y = log(TRIPS))) +
geom_point() +
geom_smooth(method = lm)
For Spatial Interation Model, we will be using log transformed variables so that the relationship resembles a linear relationship and to handle the skewed distributions. We will also be using a poisson regression model because the dependent variable (Trips) cannot be negative.
Before we proceed to calibrate the spatial interaction models, we will write a function to calculate R-Squared value as shown below. The R-squared value measure how much variation of the trips can be accounted by the model.
CalcRSquared <- function(observed, estimated){
r <- cor(observed, estimated)
R2 <- r^2
R2
}7.1 Origin (Production) Constrained Spatial Interaction Model
An origin-constrained spatial interaction model estimates “where they went” using the information on how many people left a particular origin (i.e. origin grid_id in our case). This model can have variables that reflect characteristics of the destinations so it is useful in forecasting destination inflow totals that are unknown.
In reality, origin-constrained spatial interaction model is useful for policy makers when they come up with new bus routes and bus stops, and estimating how much resource they need to commit during peak hours and non peak hours (e.g. number of double-deck/ single deck buses to deploy during peak and non peak hours respectively). Being able to estimate and project such resources is important because this could help the transport ministry and transport operators determine how many buses and bus drivers they need at any one time.
The general equation for Origin-constrained Spatial Interaction Model is as follow. \[
\lambda{i}{j}= exp(k + \mu{i} + \alpha\ln W{j} - \beta \ln d{i}{j})
\] We use glm() of Base Stats to calibrate an origin-constrained spatial interaction model. the explanatory variables are the destination related variables (such as TDESTIN_BIZ_COUNT, TDESTIN_FINSERV_COUNT) and the distance between the origin and destination (i.e. DISTANCE).
orcSIM_Poisson <- glm(formula = TRIPS ~
ORIGIN_GRID_ID +
log(TDESTIN_BIZ_COUNT) +
log(TDESTIN_FINSERV_COUNT) +
log(TDESTIN_MRTEXIT_COUNT) +
log(TDESTIN_BUSSTOP_COUNT) +
log(TDESTIN_HDBCOMMERCIAL_COUNT) +
log(TDESTIN_HDBRESIDENTIAL_COUNT) +
log(TDESTIN_HDBCOMM_UNITS) +
log(TDESTIN_HDBRES_UNITS) +
log(TDESTIN_SCHOOLS_COUNT) +
log(DISTANCE) - 1,
family = poisson(link = "log"),
data = inter_zonal_flow,
na.action = na.exclude)
summary(orcSIM_Poisson)
Call:
glm(formula = TRIPS ~ ORIGIN_GRID_ID + log(TDESTIN_BIZ_COUNT) +
log(TDESTIN_FINSERV_COUNT) + log(TDESTIN_MRTEXIT_COUNT) +
log(TDESTIN_BUSSTOP_COUNT) + log(TDESTIN_HDBCOMMERCIAL_COUNT) +
log(TDESTIN_HDBRESIDENTIAL_COUNT) + log(TDESTIN_HDBCOMM_UNITS) +
log(TDESTIN_HDBRES_UNITS) + log(TDESTIN_SCHOOLS_COUNT) +
log(DISTANCE) - 1, family = poisson(link = "log"), data = inter_zonal_flow,
na.action = na.exclude)
Coefficients:
Estimate Std. Error z value Pr(>|z|)
ORIGIN_GRID_ID664 1.541e+01 2.328e-02 662.0 <2e-16 ***
ORIGIN_GRID_ID718 1.939e+01 2.169e-03 8940.1 <2e-16 ***
ORIGIN_GRID_ID745 1.708e+01 3.088e-03 5532.1 <2e-16 ***
ORIGIN_GRID_ID746 1.912e+01 2.220e-03 8612.4 <2e-16 ***
ORIGIN_GRID_ID772 1.878e+01 2.088e-03 8991.7 <2e-16 ***
ORIGIN_GRID_ID799 1.817e+01 2.811e-03 6464.3 <2e-16 ***
ORIGIN_GRID_ID800 1.932e+01 2.108e-03 9167.4 <2e-16 ***
ORIGIN_GRID_ID826 1.905e+01 2.100e-03 9072.5 <2e-16 ***
ORIGIN_GRID_ID827 1.906e+01 2.282e-03 8353.2 <2e-16 ***
ORIGIN_GRID_ID854 1.793e+01 2.668e-03 6720.6 <2e-16 ***
ORIGIN_GRID_ID880 1.735e+01 3.263e-03 5316.7 <2e-16 ***
ORIGIN_GRID_ID881 1.660e+01 6.231e-03 2663.9 <2e-16 ***
ORIGIN_GRID_ID908 1.883e+01 2.164e-03 8700.8 <2e-16 ***
ORIGIN_GRID_ID934 1.750e+01 2.779e-03 6298.9 <2e-16 ***
ORIGIN_GRID_ID935 1.826e+01 2.352e-03 7764.4 <2e-16 ***
ORIGIN_GRID_ID961 1.864e+01 2.347e-03 7942.0 <2e-16 ***
ORIGIN_GRID_ID962 1.886e+01 2.185e-03 8633.4 <2e-16 ***
ORIGIN_GRID_ID987 1.918e+01 2.194e-03 8742.9 <2e-16 ***
ORIGIN_GRID_ID988 1.766e+01 2.825e-03 6252.2 <2e-16 ***
ORIGIN_GRID_ID989 1.877e+01 2.168e-03 8659.7 <2e-16 ***
ORIGIN_GRID_ID1015 1.759e+01 3.369e-03 5221.7 <2e-16 ***
ORIGIN_GRID_ID1016 1.776e+01 2.485e-03 7147.6 <2e-16 ***
ORIGIN_GRID_ID1043 1.800e+01 3.141e-03 5731.6 <2e-16 ***
ORIGIN_GRID_ID1068 1.567e+01 1.920e-02 816.4 <2e-16 ***
ORIGIN_GRID_ID1070 1.824e+01 2.341e-03 7788.8 <2e-16 ***
ORIGIN_GRID_ID1096 1.777e+01 2.402e-03 7397.6 <2e-16 ***
ORIGIN_GRID_ID1097 1.759e+01 2.988e-03 5887.3 <2e-16 ***
ORIGIN_GRID_ID1099 1.907e+01 2.148e-03 8877.6 <2e-16 ***
ORIGIN_GRID_ID1122 1.875e+01 2.266e-03 8275.6 <2e-16 ***
ORIGIN_GRID_ID1123 1.843e+01 2.249e-03 8195.2 <2e-16 ***
ORIGIN_GRID_ID1124 1.779e+01 2.619e-03 6793.4 <2e-16 ***
ORIGIN_GRID_ID1125 1.839e+01 2.488e-03 7391.5 <2e-16 ***
ORIGIN_GRID_ID1127 1.832e+01 2.174e-03 8425.9 <2e-16 ***
ORIGIN_GRID_ID1128 1.818e+01 2.463e-03 7378.9 <2e-16 ***
ORIGIN_GRID_ID1148 1.730e+01 3.230e-03 5357.0 <2e-16 ***
ORIGIN_GRID_ID1150 1.868e+01 2.146e-03 8705.0 <2e-16 ***
ORIGIN_GRID_ID1151 1.810e+01 2.365e-03 7653.3 <2e-16 ***
ORIGIN_GRID_ID1152 1.830e+01 2.667e-03 6863.6 <2e-16 ***
ORIGIN_GRID_ID1153 1.879e+01 2.236e-03 8404.8 <2e-16 ***
ORIGIN_GRID_ID1154 1.886e+01 2.206e-03 8546.7 <2e-16 ***
ORIGIN_GRID_ID1155 1.556e+01 1.048e-02 1485.1 <2e-16 ***
ORIGIN_GRID_ID1176 1.757e+01 2.868e-03 6126.1 <2e-16 ***
ORIGIN_GRID_ID1178 1.770e+01 2.446e-03 7235.5 <2e-16 ***
ORIGIN_GRID_ID1179 1.741e+01 2.735e-03 6363.7 <2e-16 ***
ORIGIN_GRID_ID1180 1.644e+01 5.684e-03 2892.4 <2e-16 ***
ORIGIN_GRID_ID1181 1.752e+01 2.327e-03 7531.8 <2e-16 ***
ORIGIN_GRID_ID1182 1.840e+01 2.173e-03 8466.3 <2e-16 ***
ORIGIN_GRID_ID1183 1.905e+01 2.723e-03 6993.7 <2e-16 ***
ORIGIN_GRID_ID1205 1.864e+01 2.167e-03 8601.6 <2e-16 ***
ORIGIN_GRID_ID1206 1.776e+01 2.574e-03 6901.1 <2e-16 ***
ORIGIN_GRID_ID1207 1.754e+01 3.066e-03 5721.1 <2e-16 ***
ORIGIN_GRID_ID1209 1.796e+01 2.478e-03 7246.7 <2e-16 ***
ORIGIN_GRID_ID1232 1.839e+01 2.240e-03 8213.4 <2e-16 ***
ORIGIN_GRID_ID1233 1.780e+01 3.147e-03 5656.2 <2e-16 ***
ORIGIN_GRID_ID1235 1.829e+01 2.462e-03 7426.7 <2e-16 ***
ORIGIN_GRID_ID1255 1.692e+01 1.075e-02 1574.6 <2e-16 ***
ORIGIN_GRID_ID1258 1.769e+01 3.323e-03 5323.9 <2e-16 ***
ORIGIN_GRID_ID1259 1.790e+01 2.483e-03 7210.2 <2e-16 ***
ORIGIN_GRID_ID1261 1.753e+01 2.576e-03 6804.2 <2e-16 ***
ORIGIN_GRID_ID1262 1.846e+01 2.281e-03 8092.5 <2e-16 ***
ORIGIN_GRID_ID1283 1.742e+01 3.085e-03 5644.3 <2e-16 ***
ORIGIN_GRID_ID1284 1.799e+01 3.203e-03 5616.3 <2e-16 ***
ORIGIN_GRID_ID1286 1.732e+01 4.037e-03 4290.5 <2e-16 ***
ORIGIN_GRID_ID1289 1.770e+01 2.405e-03 7359.8 <2e-16 ***
ORIGIN_GRID_ID1309 1.898e+01 2.403e-03 7901.2 <2e-16 ***
ORIGIN_GRID_ID1310 1.869e+01 2.248e-03 8314.3 <2e-16 ***
ORIGIN_GRID_ID1315 1.806e+01 2.333e-03 7740.3 <2e-16 ***
ORIGIN_GRID_ID1316 1.692e+01 3.545e-03 4771.9 <2e-16 ***
ORIGIN_GRID_ID1337 1.830e+01 2.349e-03 7790.0 <2e-16 ***
ORIGIN_GRID_ID1338 1.787e+01 5.451e-03 3278.9 <2e-16 ***
ORIGIN_GRID_ID1343 1.744e+01 2.629e-03 6633.5 <2e-16 ***
ORIGIN_GRID_ID1363 1.756e+01 3.590e-03 4892.5 <2e-16 ***
ORIGIN_GRID_ID1364 1.752e+01 2.842e-03 6165.5 <2e-16 ***
ORIGIN_GRID_ID1366 1.771e+01 3.187e-03 5557.2 <2e-16 ***
ORIGIN_GRID_ID1369 1.818e+01 2.243e-03 8106.8 <2e-16 ***
ORIGIN_GRID_ID1370 1.849e+01 2.383e-03 7758.2 <2e-16 ***
ORIGIN_GRID_ID1374 1.725e+01 3.229e-03 5341.8 <2e-16 ***
ORIGIN_GRID_ID1375 1.853e+01 3.593e-03 5157.8 <2e-16 ***
ORIGIN_GRID_ID1391 1.657e+01 5.067e-03 3270.1 <2e-16 ***
ORIGIN_GRID_ID1392 1.687e+01 4.200e-03 4017.4 <2e-16 ***
ORIGIN_GRID_ID1396 1.681e+01 6.142e-03 2737.0 <2e-16 ***
ORIGIN_GRID_ID1397 1.723e+01 3.203e-03 5378.5 <2e-16 ***
ORIGIN_GRID_ID1401 1.830e+01 2.463e-03 7429.4 <2e-16 ***
ORIGIN_GRID_ID1402 1.888e+01 2.144e-03 8804.9 <2e-16 ***
ORIGIN_GRID_ID1423 1.920e+01 6.145e-03 3123.8 <2e-16 ***
ORIGIN_GRID_ID1428 1.843e+01 2.412e-03 7642.0 <2e-16 ***
ORIGIN_GRID_ID1429 1.796e+01 3.514e-03 5110.4 <2e-16 ***
ORIGIN_GRID_ID1455 1.727e+01 3.057e-03 5647.4 <2e-16 ***
ORIGIN_GRID_ID1456 1.851e+01 2.235e-03 8282.7 <2e-16 ***
ORIGIN_GRID_ID1471 1.798e+01 2.582e-03 6961.4 <2e-16 ***
ORIGIN_GRID_ID1482 1.808e+01 2.347e-03 7700.9 <2e-16 ***
ORIGIN_GRID_ID1499 1.797e+01 2.554e-03 7036.3 <2e-16 ***
ORIGIN_GRID_ID1509 1.745e+01 3.742e-03 4663.6 <2e-16 ***
ORIGIN_GRID_ID1510 1.911e+01 2.083e-03 9177.0 <2e-16 ***
ORIGIN_GRID_ID1525 1.755e+01 2.738e-03 6409.9 <2e-16 ***
ORIGIN_GRID_ID1536 1.794e+01 2.282e-03 7863.5 <2e-16 ***
ORIGIN_GRID_ID1537 1.754e+01 3.896e-03 4501.4 <2e-16 ***
ORIGIN_GRID_ID1552 1.427e+01 1.434e-02 995.3 <2e-16 ***
ORIGIN_GRID_ID1553 1.670e+01 3.310e-03 5044.7 <2e-16 ***
ORIGIN_GRID_ID1563 1.759e+01 3.532e-03 4980.4 <2e-16 ***
ORIGIN_GRID_ID1564 1.903e+01 2.062e-03 9227.2 <2e-16 ***
ORIGIN_GRID_ID1578 1.567e+01 7.329e-03 2138.4 <2e-16 ***
ORIGIN_GRID_ID1579 1.801e+01 2.598e-03 6932.1 <2e-16 ***
ORIGIN_GRID_ID1590 1.874e+01 2.136e-03 8776.0 <2e-16 ***
ORIGIN_GRID_ID1591 1.907e+01 2.181e-03 8744.9 <2e-16 ***
ORIGIN_GRID_ID1605 1.701e+01 3.163e-03 5376.8 <2e-16 ***
ORIGIN_GRID_ID1606 1.701e+01 3.135e-03 5427.3 <2e-16 ***
ORIGIN_GRID_ID1617 1.699e+01 5.937e-03 2861.1 <2e-16 ***
ORIGIN_GRID_ID1618 1.875e+01 2.220e-03 8442.8 <2e-16 ***
ORIGIN_GRID_ID1631 1.616e+01 5.372e-03 3007.2 <2e-16 ***
ORIGIN_GRID_ID1632 1.759e+01 2.648e-03 6643.7 <2e-16 ***
ORIGIN_GRID_ID1634 1.743e+01 4.023e-03 4332.1 <2e-16 ***
ORIGIN_GRID_ID1644 1.763e+01 2.935e-03 6006.7 <2e-16 ***
ORIGIN_GRID_ID1645 1.885e+01 2.221e-03 8487.3 <2e-16 ***
ORIGIN_GRID_ID1658 1.818e+01 2.757e-03 6593.6 <2e-16 ***
ORIGIN_GRID_ID1659 1.748e+01 2.643e-03 6613.0 <2e-16 ***
ORIGIN_GRID_ID1672 1.767e+01 3.646e-03 4845.7 <2e-16 ***
ORIGIN_GRID_ID1684 1.769e+01 2.954e-03 5986.2 <2e-16 ***
ORIGIN_GRID_ID1685 1.684e+01 3.839e-03 4386.3 <2e-16 ***
ORIGIN_GRID_ID1686 1.739e+01 2.764e-03 6290.8 <2e-16 ***
ORIGIN_GRID_ID1688 1.500e+01 1.656e-02 905.6 <2e-16 ***
ORIGIN_GRID_ID1699 1.712e+01 3.010e-03 5686.7 <2e-16 ***
ORIGIN_GRID_ID1700 1.494e+01 2.252e-02 663.7 <2e-16 ***
ORIGIN_GRID_ID1712 1.686e+01 3.884e-03 4340.5 <2e-16 ***
ORIGIN_GRID_ID1713 1.811e+01 2.328e-03 7781.1 <2e-16 ***
ORIGIN_GRID_ID1727 1.914e+01 2.112e-03 9064.5 <2e-16 ***
ORIGIN_GRID_ID1739 1.734e+01 2.684e-03 6459.0 <2e-16 ***
ORIGIN_GRID_ID1753 1.873e+01 2.206e-03 8490.4 <2e-16 ***
ORIGIN_GRID_ID1754 1.803e+01 2.998e-03 6013.2 <2e-16 ***
ORIGIN_GRID_ID1766 1.840e+01 2.296e-03 8015.6 <2e-16 ***
ORIGIN_GRID_ID1767 1.774e+01 2.316e-03 7662.1 <2e-16 ***
ORIGIN_GRID_ID1780 1.614e+01 5.977e-03 2700.1 <2e-16 ***
ORIGIN_GRID_ID1781 1.798e+01 2.350e-03 7653.0 <2e-16 ***
ORIGIN_GRID_ID1792 1.733e+01 2.957e-03 5861.8 <2e-16 ***
ORIGIN_GRID_ID1793 1.797e+01 2.289e-03 7850.3 <2e-16 ***
ORIGIN_GRID_ID1794 1.649e+01 3.934e-03 4192.7 <2e-16 ***
ORIGIN_GRID_ID1807 1.754e+01 2.558e-03 6857.7 <2e-16 ***
ORIGIN_GRID_ID1820 1.725e+01 3.045e-03 5665.6 <2e-16 ***
ORIGIN_GRID_ID1821 1.851e+01 2.193e-03 8443.3 <2e-16 ***
ORIGIN_GRID_ID1833 1.834e+01 2.121e-03 8648.6 <2e-16 ***
ORIGIN_GRID_ID1835 1.797e+01 2.788e-03 6444.1 <2e-16 ***
ORIGIN_GRID_ID1847 1.752e+01 4.115e-03 4257.8 <2e-16 ***
ORIGIN_GRID_ID1854 1.649e+01 5.861e-03 2813.6 <2e-16 ***
ORIGIN_GRID_ID1859 1.730e+01 2.333e-03 7415.3 <2e-16 ***
ORIGIN_GRID_ID1860 1.776e+01 2.280e-03 7791.5 <2e-16 ***
ORIGIN_GRID_ID1861 1.851e+01 2.448e-03 7563.8 <2e-16 ***
ORIGIN_GRID_ID1874 1.696e+01 3.262e-03 5200.1 <2e-16 ***
ORIGIN_GRID_ID1875 1.733e+01 2.539e-03 6827.9 <2e-16 ***
ORIGIN_GRID_ID1882 1.787e+01 2.523e-03 7083.6 <2e-16 ***
ORIGIN_GRID_ID1883 1.728e+01 3.638e-03 4748.8 <2e-16 ***
ORIGIN_GRID_ID1886 1.854e+01 2.210e-03 8387.0 <2e-16 ***
ORIGIN_GRID_ID1887 1.838e+01 2.156e-03 8525.9 <2e-16 ***
ORIGIN_GRID_ID1888 1.755e+01 2.949e-03 5949.1 <2e-16 ***
ORIGIN_GRID_ID1905 1.585e+01 4.867e-03 3256.3 <2e-16 ***
ORIGIN_GRID_ID1907 1.732e+01 3.019e-03 5737.4 <2e-16 ***
ORIGIN_GRID_ID1908 1.669e+01 3.782e-03 4412.7 <2e-16 ***
ORIGIN_GRID_ID1909 1.795e+01 2.397e-03 7490.8 <2e-16 ***
ORIGIN_GRID_ID1912 1.590e+01 8.652e-03 1838.0 <2e-16 ***
ORIGIN_GRID_ID1913 1.721e+01 2.640e-03 6519.1 <2e-16 ***
ORIGIN_GRID_ID1914 1.885e+01 2.127e-03 8862.0 <2e-16 ***
ORIGIN_GRID_ID1928 1.616e+01 3.367e-03 4799.2 <2e-16 ***
ORIGIN_GRID_ID1929 1.604e+01 4.392e-03 3651.3 <2e-16 ***
ORIGIN_GRID_ID1933 1.697e+01 3.303e-03 5137.5 <2e-16 ***
ORIGIN_GRID_ID1935 1.743e+01 2.952e-03 5904.1 <2e-16 ***
ORIGIN_GRID_ID1936 1.779e+01 2.558e-03 6953.8 <2e-16 ***
ORIGIN_GRID_ID1937 1.715e+01 3.176e-03 5400.6 <2e-16 ***
ORIGIN_GRID_ID1940 1.897e+01 2.077e-03 9133.9 <2e-16 ***
ORIGIN_GRID_ID1941 1.795e+01 2.379e-03 7546.2 <2e-16 ***
ORIGIN_GRID_ID1942 1.754e+01 4.488e-03 3908.9 <2e-16 ***
ORIGIN_GRID_ID1955 1.789e+01 2.538e-03 7050.6 <2e-16 ***
ORIGIN_GRID_ID1959 1.754e+01 2.463e-03 7122.8 <2e-16 ***
ORIGIN_GRID_ID1960 1.786e+01 2.390e-03 7473.1 <2e-16 ***
ORIGIN_GRID_ID1962 1.758e+01 2.589e-03 6793.2 <2e-16 ***
ORIGIN_GRID_ID1963 1.684e+01 2.779e-03 6059.1 <2e-16 ***
ORIGIN_GRID_ID1967 1.910e+01 2.128e-03 8973.4 <2e-16 ***
ORIGIN_GRID_ID1968 1.923e+01 2.220e-03 8662.2 <2e-16 ***
ORIGIN_GRID_ID1985 1.610e+01 3.575e-03 4503.3 <2e-16 ***
ORIGIN_GRID_ID1987 1.833e+01 2.201e-03 8329.1 <2e-16 ***
ORIGIN_GRID_ID1988 1.685e+01 2.927e-03 5755.9 <2e-16 ***
ORIGIN_GRID_ID1989 1.709e+01 2.964e-03 5763.7 <2e-16 ***
ORIGIN_GRID_ID1990 1.884e+01 2.152e-03 8752.8 <2e-16 ***
ORIGIN_GRID_ID1994 1.720e+01 5.479e-03 3138.2 <2e-16 ***
ORIGIN_GRID_ID1995 1.938e+01 2.139e-03 9057.9 <2e-16 ***
ORIGIN_GRID_ID2010 1.613e+01 2.924e-03 5516.0 <2e-16 ***
ORIGIN_GRID_ID2011 1.720e+01 2.354e-03 7308.7 <2e-16 ***
ORIGIN_GRID_ID2012 1.627e+01 4.111e-03 3958.1 <2e-16 ***
ORIGIN_GRID_ID2013 1.714e+01 2.653e-03 6458.1 <2e-16 ***
ORIGIN_GRID_ID2014 1.744e+01 2.483e-03 7023.1 <2e-16 ***
ORIGIN_GRID_ID2015 1.743e+01 3.166e-03 5506.4 <2e-16 ***
ORIGIN_GRID_ID2016 1.761e+01 2.505e-03 7032.6 <2e-16 ***
ORIGIN_GRID_ID2017 1.762e+01 2.527e-03 6970.3 <2e-16 ***
ORIGIN_GRID_ID2021 1.753e+01 3.718e-03 4714.2 <2e-16 ***
ORIGIN_GRID_ID2038 1.645e+01 2.433e-03 6761.3 <2e-16 ***
ORIGIN_GRID_ID2039 1.790e+01 2.730e-03 6556.7 <2e-16 ***
ORIGIN_GRID_ID2040 1.810e+01 2.299e-03 7873.7 <2e-16 ***
ORIGIN_GRID_ID2041 1.894e+01 2.171e-03 8722.8 <2e-16 ***
ORIGIN_GRID_ID2042 1.739e+01 2.911e-03 5975.2 <2e-16 ***
ORIGIN_GRID_ID2043 1.615e+01 5.185e-03 3114.9 <2e-16 ***
ORIGIN_GRID_ID2044 1.864e+01 2.173e-03 8577.2 <2e-16 ***
ORIGIN_GRID_ID2064 1.414e+01 9.049e-03 1562.5 <2e-16 ***
ORIGIN_GRID_ID2065 1.635e+01 2.908e-03 5623.2 <2e-16 ***
ORIGIN_GRID_ID2066 1.667e+01 2.904e-03 5740.2 <2e-16 ***
ORIGIN_GRID_ID2067 1.800e+01 2.634e-03 6831.2 <2e-16 ***
ORIGIN_GRID_ID2068 1.806e+01 2.598e-03 6949.3 <2e-16 ***
ORIGIN_GRID_ID2070 1.815e+01 2.725e-03 6659.8 <2e-16 ***
ORIGIN_GRID_ID2071 1.751e+01 3.316e-03 5280.0 <2e-16 ***
ORIGIN_GRID_ID2093 1.664e+01 2.539e-03 6554.8 <2e-16 ***
ORIGIN_GRID_ID2094 1.779e+01 2.759e-03 6448.0 <2e-16 ***
ORIGIN_GRID_ID2095 1.842e+01 3.096e-03 5951.9 <2e-16 ***
ORIGIN_GRID_ID2098 1.665e+01 4.381e-03 3799.9 <2e-16 ***
ORIGIN_GRID_ID2119 1.710e+01 2.848e-03 6002.8 <2e-16 ***
ORIGIN_GRID_ID2120 1.680e+01 3.099e-03 5421.8 <2e-16 ***
ORIGIN_GRID_ID2123 1.728e+01 2.681e-03 6447.5 <2e-16 ***
ORIGIN_GRID_ID2147 1.720e+01 2.542e-03 6765.9 <2e-16 ***
ORIGIN_GRID_ID2148 1.818e+01 2.274e-03 7994.0 <2e-16 ***
ORIGIN_GRID_ID2149 1.733e+01 3.158e-03 5489.0 <2e-16 ***
ORIGIN_GRID_ID2150 1.596e+01 4.419e-03 3611.9 <2e-16 ***
ORIGIN_GRID_ID2151 1.694e+01 3.037e-03 5575.6 <2e-16 ***
ORIGIN_GRID_ID2152 1.788e+01 2.786e-03 6415.6 <2e-16 ***
ORIGIN_GRID_ID2154 1.732e+01 3.362e-03 5150.7 <2e-16 ***
ORIGIN_GRID_ID2174 1.668e+01 4.076e-03 4092.0 <2e-16 ***
ORIGIN_GRID_ID2177 1.864e+01 2.158e-03 8636.3 <2e-16 ***
ORIGIN_GRID_ID2178 1.772e+01 2.346e-03 7552.7 <2e-16 ***
ORIGIN_GRID_ID2179 1.805e+01 2.532e-03 7127.3 <2e-16 ***
ORIGIN_GRID_ID2180 1.784e+01 2.949e-03 6049.4 <2e-16 ***
ORIGIN_GRID_ID2201 1.781e+01 2.454e-03 7254.9 <2e-16 ***
ORIGIN_GRID_ID2203 1.753e+01 3.573e-03 4907.6 <2e-16 ***
ORIGIN_GRID_ID2204 1.647e+01 3.630e-03 4538.1 <2e-16 ***
ORIGIN_GRID_ID2205 1.697e+01 2.523e-03 6727.8 <2e-16 ***
ORIGIN_GRID_ID2206 1.898e+01 2.111e-03 8992.0 <2e-16 ***
ORIGIN_GRID_ID2208 1.844e+01 2.501e-03 7375.3 <2e-16 ***
ORIGIN_GRID_ID2228 1.731e+01 2.648e-03 6537.7 <2e-16 ***
ORIGIN_GRID_ID2231 1.737e+01 2.496e-03 6961.7 <2e-16 ***
ORIGIN_GRID_ID2233 1.896e+01 2.100e-03 9028.2 <2e-16 ***
ORIGIN_GRID_ID2234 1.528e+01 2.498e-02 611.7 <2e-16 ***
ORIGIN_GRID_ID2235 1.514e+01 2.059e-02 735.1 <2e-16 ***
ORIGIN_GRID_ID2254 1.617e+01 8.043e-03 2010.3 <2e-16 ***
ORIGIN_GRID_ID2255 1.761e+01 2.736e-03 6435.7 <2e-16 ***
ORIGIN_GRID_ID2256 1.722e+01 2.764e-03 6231.3 <2e-16 ***
ORIGIN_GRID_ID2257 1.598e+01 1.237e-02 1291.8 <2e-16 ***
ORIGIN_GRID_ID2259 1.621e+01 5.797e-03 2796.3 <2e-16 ***
ORIGIN_GRID_ID2260 1.847e+01 2.236e-03 8260.6 <2e-16 ***
ORIGIN_GRID_ID2261 1.867e+01 2.173e-03 8588.3 <2e-16 ***
ORIGIN_GRID_ID2262 1.758e+01 3.157e-03 5567.7 <2e-16 ***
ORIGIN_GRID_ID2281 1.754e+01 3.361e-03 5217.6 <2e-16 ***
ORIGIN_GRID_ID2282 1.707e+01 3.081e-03 5539.2 <2e-16 ***
ORIGIN_GRID_ID2283 1.771e+01 2.394e-03 7394.7 <2e-16 ***
ORIGIN_GRID_ID2285 1.838e+01 2.259e-03 8136.5 <2e-16 ***
ORIGIN_GRID_ID2286 1.710e+01 3.137e-03 5451.4 <2e-16 ***
ORIGIN_GRID_ID2287 1.895e+01 2.079e-03 9117.0 <2e-16 ***
ORIGIN_GRID_ID2288 1.667e+01 4.826e-03 3455.4 <2e-16 ***
ORIGIN_GRID_ID2310 1.724e+01 2.660e-03 6480.0 <2e-16 ***
ORIGIN_GRID_ID2312 1.537e+01 1.072e-02 1433.9 <2e-16 ***
ORIGIN_GRID_ID2313 1.769e+01 2.401e-03 7366.7 <2e-16 ***
ORIGIN_GRID_ID2314 1.817e+01 2.118e-03 8578.3 <2e-16 ***
ORIGIN_GRID_ID2315 1.753e+01 2.563e-03 6839.1 <2e-16 ***
ORIGIN_GRID_ID2316 1.865e+01 2.105e-03 8859.5 <2e-16 ***
ORIGIN_GRID_ID2335 1.530e+01 1.088e-02 1406.0 <2e-16 ***
ORIGIN_GRID_ID2339 1.756e+01 2.963e-03 5928.7 <2e-16 ***
ORIGIN_GRID_ID2340 1.835e+01 2.182e-03 8410.0 <2e-16 ***
ORIGIN_GRID_ID2341 1.799e+01 2.227e-03 8077.2 <2e-16 ***
ORIGIN_GRID_ID2342 1.737e+01 2.364e-03 7349.2 <2e-16 ***
ORIGIN_GRID_ID2343 1.750e+01 2.801e-03 6248.0 <2e-16 ***
ORIGIN_GRID_ID2363 1.698e+01 3.675e-03 4621.5 <2e-16 ***
ORIGIN_GRID_ID2367 1.743e+01 3.118e-03 5589.2 <2e-16 ***
ORIGIN_GRID_ID2368 1.814e+01 2.338e-03 7760.1 <2e-16 ***
ORIGIN_GRID_ID2369 1.772e+01 2.534e-03 6993.0 <2e-16 ***
ORIGIN_GRID_ID2370 1.813e+01 2.199e-03 8246.3 <2e-16 ***
ORIGIN_GRID_ID2371 1.819e+01 2.316e-03 7854.2 <2e-16 ***
ORIGIN_GRID_ID2390 1.715e+01 3.124e-03 5491.0 <2e-16 ***
ORIGIN_GRID_ID2391 1.715e+01 2.905e-03 5903.0 <2e-16 ***
ORIGIN_GRID_ID2394 1.659e+01 4.680e-03 3545.2 <2e-16 ***
ORIGIN_GRID_ID2395 1.860e+01 2.187e-03 8506.3 <2e-16 ***
ORIGIN_GRID_ID2396 1.816e+01 2.146e-03 8463.6 <2e-16 ***
ORIGIN_GRID_ID2397 1.731e+01 2.827e-03 6124.3 <2e-16 ***
ORIGIN_GRID_ID2398 1.765e+01 2.852e-03 6190.7 <2e-16 ***
ORIGIN_GRID_ID2418 1.722e+01 3.384e-03 5089.2 <2e-16 ***
ORIGIN_GRID_ID2419 1.653e+01 4.299e-03 3845.8 <2e-16 ***
ORIGIN_GRID_ID2422 1.712e+01 6.439e-03 2658.9 <2e-16 ***
ORIGIN_GRID_ID2423 1.748e+01 2.904e-03 6019.1 <2e-16 ***
ORIGIN_GRID_ID2424 1.846e+01 2.107e-03 8759.5 <2e-16 ***
ORIGIN_GRID_ID2425 1.792e+01 2.318e-03 7729.1 <2e-16 ***
ORIGIN_GRID_ID2426 1.723e+01 4.011e-03 4294.2 <2e-16 ***
ORIGIN_GRID_ID2443 1.779e+01 2.675e-03 6651.5 <2e-16 ***
ORIGIN_GRID_ID2445 1.798e+01 2.310e-03 7784.6 <2e-16 ***
ORIGIN_GRID_ID2449 1.814e+01 3.379e-03 5367.2 <2e-16 ***
ORIGIN_GRID_ID2450 1.796e+01 2.438e-03 7366.9 <2e-16 ***
ORIGIN_GRID_ID2451 1.843e+01 2.177e-03 8465.2 <2e-16 ***
ORIGIN_GRID_ID2472 1.578e+01 1.807e-02 873.7 <2e-16 ***
ORIGIN_GRID_ID2473 1.778e+01 2.754e-03 6458.2 <2e-16 ***
ORIGIN_GRID_ID2478 1.754e+01 2.606e-03 6732.8 <2e-16 ***
ORIGIN_GRID_ID2479 1.629e+01 6.093e-03 2673.3 <2e-16 ***
ORIGIN_GRID_ID2497 1.806e+01 2.461e-03 7338.3 <2e-16 ***
ORIGIN_GRID_ID2499 1.827e+01 2.711e-03 6736.8 <2e-16 ***
ORIGIN_GRID_ID2505 1.766e+01 2.722e-03 6490.1 <2e-16 ***
ORIGIN_GRID_ID2527 1.813e+01 2.454e-03 7385.4 <2e-16 ***
ORIGIN_GRID_ID2532 1.772e+01 2.927e-03 6052.4 <2e-16 ***
ORIGIN_GRID_ID2533 1.800e+01 3.379e-03 5326.7 <2e-16 ***
ORIGIN_GRID_ID2551 1.753e+01 3.274e-03 5355.0 <2e-16 ***
ORIGIN_GRID_ID2553 1.763e+01 4.380e-03 4024.4 <2e-16 ***
ORIGIN_GRID_ID2554 1.629e+01 6.478e-03 2514.6 <2e-16 ***
ORIGIN_GRID_ID2559 1.772e+01 3.278e-03 5405.9 <2e-16 ***
ORIGIN_GRID_ID2580 1.817e+01 2.505e-03 7254.6 <2e-16 ***
ORIGIN_GRID_ID2581 1.739e+01 3.956e-03 4396.6 <2e-16 ***
ORIGIN_GRID_ID2607 1.872e+01 2.208e-03 8478.0 <2e-16 ***
ORIGIN_GRID_ID2608 1.706e+01 4.181e-03 4080.4 <2e-16 ***
ORIGIN_GRID_ID2634 1.856e+01 2.339e-03 7934.2 <2e-16 ***
ORIGIN_GRID_ID2635 1.864e+01 2.507e-03 7436.4 <2e-16 ***
ORIGIN_GRID_ID2636 1.806e+01 2.686e-03 6723.1 <2e-16 ***
ORIGIN_GRID_ID2661 1.809e+01 2.363e-03 7653.5 <2e-16 ***
ORIGIN_GRID_ID2663 1.868e+01 2.107e-03 8865.7 <2e-16 ***
ORIGIN_GRID_ID2665 1.773e+01 2.961e-03 5988.2 <2e-16 ***
ORIGIN_GRID_ID2688 1.813e+01 2.437e-03 7438.5 <2e-16 ***
ORIGIN_GRID_ID2689 1.812e+01 2.506e-03 7232.1 <2e-16 ***
ORIGIN_GRID_ID2690 1.714e+01 2.922e-03 5866.2 <2e-16 ***
ORIGIN_GRID_ID2691 1.881e+01 2.141e-03 8786.9 <2e-16 ***
ORIGIN_GRID_ID2693 1.845e+01 2.288e-03 8062.3 <2e-16 ***
ORIGIN_GRID_ID2715 1.864e+01 2.437e-03 7649.0 <2e-16 ***
ORIGIN_GRID_ID2717 1.739e+01 2.372e-03 7331.4 <2e-16 ***
ORIGIN_GRID_ID2718 1.789e+01 2.872e-03 6228.0 <2e-16 ***
ORIGIN_GRID_ID2719 1.872e+01 2.080e-03 9000.4 <2e-16 ***
ORIGIN_GRID_ID2742 1.791e+01 2.794e-03 6409.6 <2e-16 ***
ORIGIN_GRID_ID2743 1.691e+01 5.284e-03 3200.1 <2e-16 ***
ORIGIN_GRID_ID2744 1.769e+01 2.429e-03 7280.6 <2e-16 ***
ORIGIN_GRID_ID2745 1.762e+01 2.329e-03 7564.0 <2e-16 ***
ORIGIN_GRID_ID2747 1.765e+01 2.717e-03 6495.9 <2e-16 ***
ORIGIN_GRID_ID2768 1.827e+01 2.667e-03 6852.0 <2e-16 ***
ORIGIN_GRID_ID2771 1.837e+01 2.181e-03 8423.1 <2e-16 ***
ORIGIN_GRID_ID2773 1.799e+01 2.363e-03 7613.8 <2e-16 ***
ORIGIN_GRID_ID2798 1.713e+01 3.229e-03 5305.3 <2e-16 ***
ORIGIN_GRID_ID2799 1.785e+01 2.240e-03 7968.5 <2e-16 ***
ORIGIN_GRID_ID2800 1.792e+01 2.412e-03 7430.9 <2e-16 ***
ORIGIN_GRID_ID2824 1.715e+01 3.173e-03 5405.4 <2e-16 ***
ORIGIN_GRID_ID2825 1.792e+01 2.188e-03 8187.9 <2e-16 ***
ORIGIN_GRID_ID2826 1.801e+01 2.625e-03 6859.6 <2e-16 ***
ORIGIN_GRID_ID2827 1.826e+01 2.314e-03 7888.3 <2e-16 ***
ORIGIN_GRID_ID2852 1.815e+01 2.390e-03 7595.9 <2e-16 ***
ORIGIN_GRID_ID2853 1.811e+01 2.145e-03 8441.1 <2e-16 ***
ORIGIN_GRID_ID2854 1.862e+01 2.153e-03 8647.5 <2e-16 ***
ORIGIN_GRID_ID2878 1.754e+01 3.104e-03 5650.1 <2e-16 ***
ORIGIN_GRID_ID2879 1.784e+01 2.457e-03 7259.9 <2e-16 ***
ORIGIN_GRID_ID2880 1.783e+01 2.442e-03 7304.2 <2e-16 ***
ORIGIN_GRID_ID2881 1.913e+01 2.190e-03 8732.7 <2e-16 ***
ORIGIN_GRID_ID2907 1.787e+01 2.743e-03 6515.9 <2e-16 ***
ORIGIN_GRID_ID2908 1.832e+01 2.395e-03 7648.7 <2e-16 ***
ORIGIN_GRID_ID2933 1.600e+01 8.024e-03 1994.5 <2e-16 ***
ORIGIN_GRID_ID2934 1.759e+01 2.882e-03 6104.5 <2e-16 ***
ORIGIN_GRID_ID3098 1.735e+01 5.578e-03 3110.3 <2e-16 ***
log(TDESTIN_BIZ_COUNT) 4.295e-02 1.029e-04 417.6 <2e-16 ***
log(TDESTIN_FINSERV_COUNT) 2.343e-01 1.038e-04 2258.4 <2e-16 ***
log(TDESTIN_MRTEXIT_COUNT) 6.802e-01 1.498e-04 4541.9 <2e-16 ***
log(TDESTIN_BUSSTOP_COUNT) 7.413e-02 2.476e-04 299.4 <2e-16 ***
log(TDESTIN_HDBCOMMERCIAL_COUNT) 8.726e-02 1.962e-04 444.8 <2e-16 ***
log(TDESTIN_HDBRESIDENTIAL_COUNT) 1.289e-01 4.500e-04 286.4 <2e-16 ***
log(TDESTIN_HDBCOMM_UNITS) 8.755e-03 7.367e-05 118.8 <2e-16 ***
log(TDESTIN_HDBRES_UNITS) -1.503e-01 3.806e-04 -394.9 <2e-16 ***
log(TDESTIN_SCHOOLS_COUNT) 3.309e-01 2.262e-04 1463.1 <2e-16 ***
log(DISTANCE) -1.474e+00 1.271e-04 -11601.0 <2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(Dispersion parameter for poisson family taken to be 1)
Null deviance: 2954357158 on 101715 degrees of freedom
Residual deviance: 152730527 on 101357 degrees of freedom
AIC: 153489469
Number of Fisher Scoring iterations: 6Based on the above output, all the destination related variables are significant because their p-values are less than 0.05. Based on the coefficients, the destination’s MRT Exits seemed to have the biggest influence on the spatial interaction as compared to other variables because it has the biggest coefficient (0.680174) amongst the other variables. The destination’s schools has the next highest coefficient of 0.330944. Distance has a negative coefficient of -1.474483. It means that as distance increased by log(l.474483), the interactions decreased. From the output, we observed that the destination HDB Residential Count has a positive coefficient of 0.128855 but the destination HDB Residential Dwelling units has a negative coefficient of -0.150316. It could mean that with HDB residential dwelling units increase, the number of interactions decrease (i.e. less commuter flows). We will calibrate the model in the next section by removing some variables.
We compute the R-squared of the Origin Constrained Spatial Interaction Model using the CalcRSquared function written earlier.
CalcRSquared(orcSIM_Poisson$data$TRIPS, orcSIM_Poisson$fitted.values)[1] 0.6265569The above output indicates that these variables explain for 62.65569% of the observed spatial interaction patterns.
7.2 Destination (Attraction) Constrained Spatial Interaction Model
We will now develop a Destination-constrained Spatial Interaction Model so that we can compare it with the Origin-constrained Spatial Interaction Model. The Destination-constrained Spatial Interaction Model can be used to forecast total outflows from origins. Such a situation could arise, for example, in forecasting the effects of locating a new industrial park in a certain region of Singapore. The number of people to be employed and the businesses to set up are known, the destination-constrained spatial interaction model can be used to forecast the demand for housing in the region that will result from the new employment.
The general equation for destination constrained spatial interaction model is as follow:
\[ \lambda{i}{j}= exp(k + \mu\ln V{i} + \alpha{i} - \beta \ln d{i}{j}) \]
decSIM_Poisson <- glm(formula = TRIPS ~
DESTIN_GRID_ID +
log(TORIGIN_BIZ_COUNT) +
log(TORIGIN_FINSERV_COUNT) +
log(TORIGIN_MRTEXIT_COUNT) +
log(TORIGIN_BUSSTOP_COUNT) +
log(TORIGIN_HDBCOMMERCIAL_COUNT) +
log(TORIGIN_HDBRESIDENTIAL_COUNT) +
log(TORIGIN_HDBCOMM_UNITS) +
log(TORIGIN_HDBRES_UNITS) +
log(TORIGIN_SCHOOLS_COUNT) +
log(DISTANCE) - 1,
family = poisson(link = "log"),
data = inter_zonal_flow,
na.action = na.exclude)
summary(decSIM_Poisson)
Call:
glm(formula = TRIPS ~ DESTIN_GRID_ID + log(TORIGIN_BIZ_COUNT) +
log(TORIGIN_FINSERV_COUNT) + log(TORIGIN_MRTEXIT_COUNT) +
log(TORIGIN_BUSSTOP_COUNT) + log(TORIGIN_HDBCOMMERCIAL_COUNT) +
log(TORIGIN_HDBRESIDENTIAL_COUNT) + log(TORIGIN_HDBCOMM_UNITS) +
log(TORIGIN_HDBRES_UNITS) + log(TORIGIN_SCHOOLS_COUNT) +
log(DISTANCE) - 1, family = poisson(link = "log"), data = inter_zonal_flow,
na.action = na.exclude)
Coefficients:
Estimate Std. Error z value Pr(>|z|)
DESTIN_GRID_ID664 1.485e+01 4.828e-03 3076.975 < 2e-16 ***
DESTIN_GRID_ID718 1.468e+01 2.477e-03 5927.699 < 2e-16 ***
DESTIN_GRID_ID745 1.309e+01 3.426e-03 3820.366 < 2e-16 ***
DESTIN_GRID_ID746 1.395e+01 2.817e-03 4951.311 < 2e-16 ***
DESTIN_GRID_ID772 1.513e+01 2.198e-03 6879.733 < 2e-16 ***
DESTIN_GRID_ID799 1.520e+01 2.383e-03 6379.194 < 2e-16 ***
DESTIN_GRID_ID800 1.403e+01 2.465e-03 5689.985 < 2e-16 ***
DESTIN_GRID_ID826 1.624e+01 2.173e-03 7473.459 < 2e-16 ***
DESTIN_GRID_ID827 1.491e+01 2.620e-03 5691.977 < 2e-16 ***
DESTIN_GRID_ID854 1.374e+01 3.021e-03 4546.334 < 2e-16 ***
DESTIN_GRID_ID880 1.320e+01 3.920e-03 3366.788 < 2e-16 ***
DESTIN_GRID_ID881 1.374e+01 3.909e-03 3514.466 < 2e-16 ***
DESTIN_GRID_ID908 1.412e+01 2.601e-03 5429.021 < 2e-16 ***
DESTIN_GRID_ID934 1.449e+01 2.538e-03 5709.309 < 2e-16 ***
DESTIN_GRID_ID935 1.416e+01 2.757e-03 5134.937 < 2e-16 ***
DESTIN_GRID_ID961 1.405e+01 2.939e-03 4779.058 < 2e-16 ***
DESTIN_GRID_ID962 1.612e+01 2.183e-03 7385.117 < 2e-16 ***
DESTIN_GRID_ID987 1.511e+01 2.394e-03 6312.731 < 2e-16 ***
DESTIN_GRID_ID988 1.318e+01 3.766e-03 3500.073 < 2e-16 ***
DESTIN_GRID_ID989 1.431e+01 2.619e-03 5465.241 < 2e-16 ***
DESTIN_GRID_ID1015 1.186e+01 8.635e-03 1373.721 < 2e-16 ***
DESTIN_GRID_ID1016 1.345e+01 3.056e-03 4402.993 < 2e-16 ***
DESTIN_GRID_ID1043 1.409e+01 3.434e-03 4101.477 < 2e-16 ***
DESTIN_GRID_ID1068 1.218e+01 2.071e-02 587.808 < 2e-16 ***
DESTIN_GRID_ID1070 1.438e+01 2.506e-03 5739.042 < 2e-16 ***
DESTIN_GRID_ID1096 1.398e+01 2.648e-03 5278.400 < 2e-16 ***
DESTIN_GRID_ID1097 1.359e+01 3.362e-03 4040.314 < 2e-16 ***
DESTIN_GRID_ID1099 1.422e+01 2.597e-03 5475.927 < 2e-16 ***
DESTIN_GRID_ID1122 1.474e+01 2.935e-03 5020.962 < 2e-16 ***
DESTIN_GRID_ID1123 1.570e+01 2.220e-03 7070.753 < 2e-16 ***
DESTIN_GRID_ID1124 1.426e+01 2.635e-03 5412.161 < 2e-16 ***
DESTIN_GRID_ID1125 1.357e+01 3.343e-03 4060.668 < 2e-16 ***
DESTIN_GRID_ID1127 1.375e+01 2.773e-03 4959.245 < 2e-16 ***
DESTIN_GRID_ID1128 1.443e+01 3.112e-03 4638.858 < 2e-16 ***
DESTIN_GRID_ID1148 1.389e+01 3.551e-03 3912.594 < 2e-16 ***
DESTIN_GRID_ID1150 1.432e+01 2.560e-03 5594.373 < 2e-16 ***
DESTIN_GRID_ID1151 1.377e+01 2.807e-03 4904.796 < 2e-16 ***
DESTIN_GRID_ID1152 1.347e+01 3.833e-03 3513.925 < 2e-16 ***
DESTIN_GRID_ID1153 1.413e+01 2.663e-03 5306.961 < 2e-16 ***
DESTIN_GRID_ID1154 1.580e+01 2.191e-03 7209.066 < 2e-16 ***
DESTIN_GRID_ID1155 1.115e+01 1.733e-02 643.072 < 2e-16 ***
DESTIN_GRID_ID1176 1.481e+01 2.568e-03 5767.980 < 2e-16 ***
DESTIN_GRID_ID1178 1.369e+01 2.731e-03 5012.493 < 2e-16 ***
DESTIN_GRID_ID1179 1.292e+01 3.641e-03 3547.472 < 2e-16 ***
DESTIN_GRID_ID1180 1.139e+01 1.032e-02 1103.548 < 2e-16 ***
DESTIN_GRID_ID1181 1.450e+01 2.379e-03 6092.099 < 2e-16 ***
DESTIN_GRID_ID1182 1.401e+01 2.785e-03 5032.847 < 2e-16 ***
DESTIN_GRID_ID1183 1.389e+01 5.273e-03 2635.031 < 2e-16 ***
DESTIN_GRID_ID1205 1.531e+01 2.241e-03 6830.019 < 2e-16 ***
DESTIN_GRID_ID1206 1.411e+01 2.790e-03 5057.970 < 2e-16 ***
DESTIN_GRID_ID1207 1.392e+01 2.944e-03 4727.261 < 2e-16 ***
DESTIN_GRID_ID1209 1.554e+01 2.293e-03 6777.083 < 2e-16 ***
DESTIN_GRID_ID1232 1.453e+01 2.444e-03 5943.421 < 2e-16 ***
DESTIN_GRID_ID1233 1.511e+01 2.677e-03 5645.982 < 2e-16 ***
DESTIN_GRID_ID1235 1.486e+01 2.469e-03 6017.994 < 2e-16 ***
DESTIN_GRID_ID1255 1.494e+01 5.876e-03 2542.030 < 2e-16 ***
DESTIN_GRID_ID1258 1.527e+01 2.555e-03 5977.315 < 2e-16 ***
DESTIN_GRID_ID1259 1.377e+01 3.142e-03 4382.128 < 2e-16 ***
DESTIN_GRID_ID1261 1.364e+01 2.949e-03 4625.786 < 2e-16 ***
DESTIN_GRID_ID1262 1.412e+01 2.654e-03 5319.461 < 2e-16 ***
DESTIN_GRID_ID1283 1.393e+01 3.217e-03 4330.130 < 2e-16 ***
DESTIN_GRID_ID1284 1.350e+01 4.945e-03 2730.385 < 2e-16 ***
DESTIN_GRID_ID1286 1.286e+01 4.819e-03 2667.992 < 2e-16 ***
DESTIN_GRID_ID1289 1.459e+01 2.326e-03 6273.350 < 2e-16 ***
DESTIN_GRID_ID1309 1.511e+01 2.704e-03 5586.980 < 2e-16 ***
DESTIN_GRID_ID1310 1.578e+01 2.280e-03 6920.152 < 2e-16 ***
DESTIN_GRID_ID1315 1.535e+01 2.257e-03 6801.736 < 2e-16 ***
DESTIN_GRID_ID1316 1.311e+01 4.025e-03 3256.355 < 2e-16 ***
DESTIN_GRID_ID1337 1.409e+01 2.720e-03 5179.499 < 2e-16 ***
DESTIN_GRID_ID1338 1.334e+01 6.054e-03 2202.812 < 2e-16 ***
DESTIN_GRID_ID1343 1.312e+01 3.299e-03 3975.842 < 2e-16 ***
DESTIN_GRID_ID1363 1.487e+01 2.967e-03 5009.796 < 2e-16 ***
DESTIN_GRID_ID1364 1.364e+01 3.419e-03 3989.908 < 2e-16 ***
DESTIN_GRID_ID1366 1.405e+01 3.268e-03 4298.738 < 2e-16 ***
DESTIN_GRID_ID1369 1.420e+01 2.667e-03 5325.984 < 2e-16 ***
DESTIN_GRID_ID1370 1.402e+01 2.851e-03 4917.140 < 2e-16 ***
DESTIN_GRID_ID1374 1.339e+01 3.556e-03 3765.883 < 2e-16 ***
DESTIN_GRID_ID1375 1.382e+01 5.838e-03 2367.056 < 2e-16 ***
DESTIN_GRID_ID1391 1.374e+01 4.325e-03 3177.204 < 2e-16 ***
DESTIN_GRID_ID1392 1.261e+01 6.735e-03 1871.914 < 2e-16 ***
DESTIN_GRID_ID1396 1.245e+01 8.426e-03 1477.270 < 2e-16 ***
DESTIN_GRID_ID1397 1.363e+01 3.047e-03 4473.472 < 2e-16 ***
DESTIN_GRID_ID1401 1.522e+01 2.368e-03 6426.019 < 2e-16 ***
DESTIN_GRID_ID1402 1.428e+01 2.606e-03 5481.428 < 2e-16 ***
DESTIN_GRID_ID1423 1.375e+01 4.544e-03 3025.688 < 2e-16 ***
DESTIN_GRID_ID1428 1.370e+01 3.085e-03 4440.621 < 2e-16 ***
DESTIN_GRID_ID1429 1.437e+01 3.287e-03 4372.579 < 2e-16 ***
DESTIN_GRID_ID1455 1.356e+01 3.120e-03 4347.233 < 2e-16 ***
DESTIN_GRID_ID1456 1.384e+01 2.965e-03 4665.801 < 2e-16 ***
DESTIN_GRID_ID1471 1.434e+01 3.392e-03 4228.263 < 2e-16 ***
DESTIN_GRID_ID1482 1.518e+01 2.304e-03 6587.815 < 2e-16 ***
DESTIN_GRID_ID1499 1.350e+01 4.937e-03 2734.974 < 2e-16 ***
DESTIN_GRID_ID1509 1.305e+01 4.961e-03 2631.142 < 2e-16 ***
DESTIN_GRID_ID1510 1.599e+01 2.181e-03 7331.138 < 2e-16 ***
DESTIN_GRID_ID1525 1.488e+01 2.541e-03 5854.915 < 2e-16 ***
DESTIN_GRID_ID1536 1.452e+01 2.364e-03 6142.978 < 2e-16 ***
DESTIN_GRID_ID1537 1.462e+01 3.090e-03 4731.910 < 2e-16 ***
DESTIN_GRID_ID1552 1.234e+01 9.550e-03 1292.145 < 2e-16 ***
DESTIN_GRID_ID1553 1.374e+01 3.578e-03 3840.102 < 2e-16 ***
DESTIN_GRID_ID1563 1.434e+01 2.865e-03 5004.244 < 2e-16 ***
DESTIN_GRID_ID1564 1.436e+01 2.364e-03 6074.688 < 2e-16 ***
DESTIN_GRID_ID1578 1.245e+01 6.532e-03 1906.243 < 2e-16 ***
DESTIN_GRID_ID1579 1.461e+01 2.688e-03 5435.415 < 2e-16 ***
DESTIN_GRID_ID1590 1.408e+01 2.600e-03 5413.418 < 2e-16 ***
DESTIN_GRID_ID1591 1.451e+01 2.590e-03 5602.290 < 2e-16 ***
DESTIN_GRID_ID1605 1.405e+01 2.956e-03 4752.897 < 2e-16 ***
DESTIN_GRID_ID1606 1.401e+01 3.025e-03 4632.830 < 2e-16 ***
DESTIN_GRID_ID1617 1.289e+01 6.705e-03 1922.147 < 2e-16 ***
DESTIN_GRID_ID1618 1.589e+01 2.199e-03 7227.218 < 2e-16 ***
DESTIN_GRID_ID1631 1.366e+01 3.566e-03 3832.123 < 2e-16 ***
DESTIN_GRID_ID1632 1.377e+01 3.115e-03 4422.014 < 2e-16 ***
DESTIN_GRID_ID1634 1.376e+01 4.714e-03 2919.579 < 2e-16 ***
DESTIN_GRID_ID1644 1.415e+01 2.872e-03 4927.398 < 2e-16 ***
DESTIN_GRID_ID1645 1.462e+01 2.531e-03 5775.135 < 2e-16 ***
DESTIN_GRID_ID1658 1.360e+01 3.705e-03 3670.373 < 2e-16 ***
DESTIN_GRID_ID1659 1.433e+01 2.576e-03 5562.743 < 2e-16 ***
DESTIN_GRID_ID1672 1.408e+01 3.836e-03 3670.249 < 2e-16 ***
DESTIN_GRID_ID1684 1.426e+01 2.934e-03 4859.903 < 2e-16 ***
DESTIN_GRID_ID1685 1.396e+01 3.793e-03 3679.096 < 2e-16 ***
DESTIN_GRID_ID1686 1.397e+01 2.954e-03 4729.710 < 2e-16 ***
DESTIN_GRID_ID1688 1.343e+01 6.158e-03 2181.216 < 2e-16 ***
DESTIN_GRID_ID1699 1.426e+01 2.682e-03 5316.594 < 2e-16 ***
DESTIN_GRID_ID1700 1.382e+01 6.193e-03 2231.774 < 2e-16 ***
DESTIN_GRID_ID1712 1.290e+01 4.307e-03 2995.056 < 2e-16 ***
DESTIN_GRID_ID1713 1.472e+01 2.455e-03 5996.000 < 2e-16 ***
DESTIN_GRID_ID1727 1.445e+01 2.527e-03 5718.111 < 2e-16 ***
DESTIN_GRID_ID1739 1.482e+01 2.395e-03 6190.057 < 2e-16 ***
DESTIN_GRID_ID1753 1.578e+01 2.192e-03 7196.946 < 2e-16 ***
DESTIN_GRID_ID1754 1.393e+01 3.139e-03 4439.129 < 2e-16 ***
DESTIN_GRID_ID1766 1.428e+01 2.571e-03 5554.592 < 2e-16 ***
DESTIN_GRID_ID1767 1.427e+01 2.516e-03 5671.215 < 2e-16 ***
DESTIN_GRID_ID1780 1.367e+01 1.017e-02 1344.909 < 2e-16 ***
DESTIN_GRID_ID1781 1.398e+01 2.843e-03 4915.410 < 2e-16 ***
DESTIN_GRID_ID1792 1.337e+01 3.463e-03 3860.905 < 2e-16 ***
DESTIN_GRID_ID1793 1.453e+01 2.448e-03 5938.302 < 2e-16 ***
DESTIN_GRID_ID1794 1.347e+01 3.913e-03 3441.428 < 2e-16 ***
DESTIN_GRID_ID1807 1.276e+01 3.738e-03 3413.350 < 2e-16 ***
DESTIN_GRID_ID1820 1.370e+01 3.221e-03 4253.892 < 2e-16 ***
DESTIN_GRID_ID1821 1.523e+01 2.331e-03 6531.547 < 2e-16 ***
DESTIN_GRID_ID1833 1.472e+01 2.306e-03 6383.110 < 2e-16 ***
DESTIN_GRID_ID1835 1.307e+01 3.927e-03 3328.394 < 2e-16 ***
DESTIN_GRID_ID1847 1.246e+01 9.380e-03 1328.835 < 2e-16 ***
DESTIN_GRID_ID1854 1.380e+01 3.873e-03 3563.467 < 2e-16 ***
DESTIN_GRID_ID1859 1.351e+01 2.648e-03 5101.234 < 2e-16 ***
DESTIN_GRID_ID1860 1.376e+01 2.719e-03 5059.744 < 2e-16 ***
DESTIN_GRID_ID1861 1.351e+01 3.805e-03 3550.708 < 2e-16 ***
DESTIN_GRID_ID1874 1.404e+01 2.926e-03 4798.831 < 2e-16 ***
DESTIN_GRID_ID1875 1.441e+01 2.549e-03 5654.655 < 2e-16 ***
DESTIN_GRID_ID1882 1.462e+01 2.571e-03 5687.876 < 2e-16 ***
DESTIN_GRID_ID1883 1.321e+01 4.100e-03 3222.457 < 2e-16 ***
DESTIN_GRID_ID1886 1.600e+01 2.193e-03 7296.801 < 2e-16 ***
DESTIN_GRID_ID1887 1.585e+01 2.159e-03 7342.180 < 2e-16 ***
DESTIN_GRID_ID1888 1.361e+01 3.798e-03 3582.254 < 2e-16 ***
DESTIN_GRID_ID1905 1.317e+01 4.261e-03 3091.504 < 2e-16 ***
DESTIN_GRID_ID1907 1.406e+01 2.947e-03 4769.903 < 2e-16 ***
DESTIN_GRID_ID1908 1.342e+01 3.597e-03 3730.051 < 2e-16 ***
DESTIN_GRID_ID1909 1.381e+01 2.960e-03 4665.915 < 2e-16 ***
DESTIN_GRID_ID1912 1.063e+01 2.104e-02 505.402 < 2e-16 ***
DESTIN_GRID_ID1913 1.385e+01 2.613e-03 5301.372 < 2e-16 ***
DESTIN_GRID_ID1914 1.453e+01 2.470e-03 5881.719 < 2e-16 ***
DESTIN_GRID_ID1928 1.399e+01 3.392e-03 4124.304 < 2e-16 ***
DESTIN_GRID_ID1929 1.394e+01 3.480e-03 4005.037 < 2e-16 ***
DESTIN_GRID_ID1933 1.474e+01 2.573e-03 5727.125 < 2e-16 ***
DESTIN_GRID_ID1935 1.414e+01 2.917e-03 4848.562 < 2e-16 ***
DESTIN_GRID_ID1936 1.408e+01 2.894e-03 4864.103 < 2e-16 ***
DESTIN_GRID_ID1937 1.401e+01 2.952e-03 4744.915 < 2e-16 ***
DESTIN_GRID_ID1940 1.376e+01 2.777e-03 4954.332 < 2e-16 ***
DESTIN_GRID_ID1941 1.301e+01 3.634e-03 3580.466 < 2e-16 ***
DESTIN_GRID_ID1942 1.407e+01 4.815e-03 2921.648 < 2e-16 ***
DESTIN_GRID_ID1955 1.480e+01 2.624e-03 5639.928 < 2e-16 ***
DESTIN_GRID_ID1959 1.445e+01 2.622e-03 5513.403 < 2e-16 ***
DESTIN_GRID_ID1960 1.474e+01 2.424e-03 6079.333 < 2e-16 ***
DESTIN_GRID_ID1962 1.361e+01 3.051e-03 4459.836 < 2e-16 ***
DESTIN_GRID_ID1963 1.353e+01 2.937e-03 4608.017 < 2e-16 ***
DESTIN_GRID_ID1967 1.420e+01 2.621e-03 5418.681 < 2e-16 ***
DESTIN_GRID_ID1968 1.423e+01 2.971e-03 4789.511 < 2e-16 ***
DESTIN_GRID_ID1985 1.433e+01 3.130e-03 4577.808 < 2e-16 ***
DESTIN_GRID_ID1987 1.547e+01 2.261e-03 6842.999 < 2e-16 ***
DESTIN_GRID_ID1988 1.332e+01 3.183e-03 4185.518 < 2e-16 ***
DESTIN_GRID_ID1989 1.317e+01 3.537e-03 3723.598 < 2e-16 ***
DESTIN_GRID_ID1990 1.573e+01 2.231e-03 7051.842 < 2e-16 ***
DESTIN_GRID_ID1994 1.170e+01 1.258e-02 930.114 < 2e-16 ***
DESTIN_GRID_ID1995 1.368e+01 3.081e-03 4441.487 < 2e-16 ***
DESTIN_GRID_ID2010 1.447e+01 2.497e-03 5793.489 < 2e-16 ***
DESTIN_GRID_ID2011 1.449e+01 2.685e-03 5398.987 < 2e-16 ***
DESTIN_GRID_ID2012 1.368e+01 3.610e-03 3787.907 < 2e-16 ***
DESTIN_GRID_ID2013 1.378e+01 2.685e-03 5133.705 < 2e-16 ***
DESTIN_GRID_ID2014 1.392e+01 2.592e-03 5369.856 < 2e-16 ***
DESTIN_GRID_ID2015 1.430e+01 3.015e-03 4743.402 < 2e-16 ***
DESTIN_GRID_ID2016 1.391e+01 2.758e-03 5043.522 < 2e-16 ***
DESTIN_GRID_ID2017 1.397e+01 2.750e-03 5078.657 < 2e-16 ***
DESTIN_GRID_ID2021 1.238e+01 6.666e-03 1856.887 < 2e-16 ***
DESTIN_GRID_ID2038 1.515e+01 2.354e-03 6434.607 < 2e-16 ***
DESTIN_GRID_ID2039 1.361e+01 3.597e-03 3782.882 < 2e-16 ***
DESTIN_GRID_ID2040 1.381e+01 2.899e-03 4764.046 < 2e-16 ***
DESTIN_GRID_ID2041 1.455e+01 2.477e-03 5873.271 < 2e-16 ***
DESTIN_GRID_ID2042 1.350e+01 3.481e-03 3879.001 < 2e-16 ***
DESTIN_GRID_ID2043 1.431e+01 2.936e-03 4875.306 < 2e-16 ***
DESTIN_GRID_ID2044 1.422e+01 2.571e-03 5529.484 < 2e-16 ***
DESTIN_GRID_ID2064 1.424e+01 3.052e-03 4665.020 < 2e-16 ***
DESTIN_GRID_ID2065 1.403e+01 3.033e-03 4626.265 < 2e-16 ***
DESTIN_GRID_ID2066 1.407e+01 2.601e-03 5408.408 < 2e-16 ***
DESTIN_GRID_ID2067 1.341e+01 3.506e-03 3825.441 < 2e-16 ***
DESTIN_GRID_ID2068 1.385e+01 3.095e-03 4473.929 < 2e-16 ***
DESTIN_GRID_ID2070 1.433e+01 3.034e-03 4723.235 < 2e-16 ***
DESTIN_GRID_ID2071 1.440e+01 2.787e-03 5166.163 < 2e-16 ***
DESTIN_GRID_ID2093 1.441e+01 2.524e-03 5708.869 < 2e-16 ***
DESTIN_GRID_ID2094 1.431e+01 2.691e-03 5317.290 < 2e-16 ***
DESTIN_GRID_ID2095 1.421e+01 3.408e-03 4170.831 < 2e-16 ***
DESTIN_GRID_ID2098 1.407e+01 3.222e-03 4366.159 < 2e-16 ***
DESTIN_GRID_ID2119 1.416e+01 3.004e-03 4713.053 < 2e-16 ***
DESTIN_GRID_ID2120 1.482e+01 2.600e-03 5701.919 < 2e-16 ***
DESTIN_GRID_ID2123 1.322e+01 3.654e-03 3616.957 < 2e-16 ***
DESTIN_GRID_ID2147 1.437e+01 2.632e-03 5462.032 < 2e-16 ***
DESTIN_GRID_ID2148 1.410e+01 2.674e-03 5273.941 < 2e-16 ***
DESTIN_GRID_ID2149 1.461e+01 2.828e-03 5165.883 < 2e-16 ***
DESTIN_GRID_ID2150 1.234e+01 6.175e-03 1999.073 < 2e-16 ***
DESTIN_GRID_ID2151 1.247e+01 5.400e-03 2309.904 < 2e-16 ***
DESTIN_GRID_ID2152 1.486e+01 2.472e-03 6010.768 < 2e-16 ***
DESTIN_GRID_ID2154 1.275e+01 4.899e-03 2602.014 < 2e-16 ***
DESTIN_GRID_ID2174 1.273e+01 5.096e-03 2497.874 < 2e-16 ***
DESTIN_GRID_ID2177 1.602e+01 2.163e-03 7408.782 < 2e-16 ***
DESTIN_GRID_ID2178 1.306e+01 3.202e-03 4077.734 < 2e-16 ***
DESTIN_GRID_ID2179 1.435e+01 2.599e-03 5519.948 < 2e-16 ***
DESTIN_GRID_ID2180 1.338e+01 3.951e-03 3387.070 < 2e-16 ***
DESTIN_GRID_ID2201 1.403e+01 2.910e-03 4821.164 < 2e-16 ***
DESTIN_GRID_ID2203 1.389e+01 3.913e-03 3549.488 < 2e-16 ***
DESTIN_GRID_ID2204 1.421e+01 2.887e-03 4923.374 < 2e-16 ***
DESTIN_GRID_ID2205 1.351e+01 2.834e-03 4766.279 < 2e-16 ***
DESTIN_GRID_ID2206 1.441e+01 2.379e-03 6057.329 < 2e-16 ***
DESTIN_GRID_ID2208 1.388e+01 3.044e-03 4559.683 < 2e-16 ***
DESTIN_GRID_ID2228 1.369e+01 3.129e-03 4376.840 < 2e-16 ***
DESTIN_GRID_ID2231 1.380e+01 2.805e-03 4920.322 < 2e-16 ***
DESTIN_GRID_ID2233 1.434e+01 2.347e-03 6112.138 < 2e-16 ***
DESTIN_GRID_ID2234 8.246e+00 9.131e-02 90.306 < 2e-16 ***
DESTIN_GRID_ID2235 1.139e+01 3.136e-02 363.234 < 2e-16 ***
DESTIN_GRID_ID2254 1.405e+01 5.864e-03 2396.036 < 2e-16 ***
DESTIN_GRID_ID2255 1.340e+01 4.364e-03 3071.070 < 2e-16 ***
DESTIN_GRID_ID2256 1.377e+01 3.011e-03 4573.405 < 2e-16 ***
DESTIN_GRID_ID2257 1.356e+01 7.890e-03 1718.272 < 2e-16 ***
DESTIN_GRID_ID2259 1.301e+01 4.621e-03 2814.997 < 2e-16 ***
DESTIN_GRID_ID2260 1.357e+01 2.721e-03 4985.412 < 2e-16 ***
DESTIN_GRID_ID2261 1.360e+01 2.715e-03 5008.709 < 2e-16 ***
DESTIN_GRID_ID2262 1.262e+01 5.125e-03 2463.475 < 2e-16 ***
DESTIN_GRID_ID2281 1.360e+01 4.252e-03 3199.741 < 2e-16 ***
DESTIN_GRID_ID2282 1.482e+01 2.495e-03 5939.540 < 2e-16 ***
DESTIN_GRID_ID2283 1.358e+01 3.124e-03 4346.065 < 2e-16 ***
DESTIN_GRID_ID2285 1.430e+01 2.651e-03 5392.838 < 2e-16 ***
DESTIN_GRID_ID2286 1.344e+01 3.140e-03 4278.815 < 2e-16 ***
DESTIN_GRID_ID2287 1.438e+01 2.261e-03 6358.560 < 2e-16 ***
DESTIN_GRID_ID2288 1.198e+01 7.004e-03 1711.106 < 2e-16 ***
DESTIN_GRID_ID2310 1.409e+01 2.690e-03 5238.934 < 2e-16 ***
DESTIN_GRID_ID2312 1.305e+01 5.307e-03 2459.199 < 2e-16 ***
DESTIN_GRID_ID2313 1.521e+01 2.277e-03 6680.696 < 2e-16 ***
DESTIN_GRID_ID2314 1.522e+01 2.163e-03 7037.522 < 2e-16 ***
DESTIN_GRID_ID2315 1.324e+01 3.048e-03 4344.803 < 2e-16 ***
DESTIN_GRID_ID2316 1.393e+01 2.526e-03 5513.832 < 2e-16 ***
DESTIN_GRID_ID2335 1.245e+01 1.365e-02 912.573 < 2e-16 ***
DESTIN_GRID_ID2339 1.410e+01 2.993e-03 4712.574 < 2e-16 ***
DESTIN_GRID_ID2340 1.394e+01 2.436e-03 5720.078 < 2e-16 ***
DESTIN_GRID_ID2341 1.427e+01 2.302e-03 6201.395 < 2e-16 ***
DESTIN_GRID_ID2342 1.310e+01 2.845e-03 4604.579 < 2e-16 ***
DESTIN_GRID_ID2343 1.296e+01 4.130e-03 3137.485 < 2e-16 ***
DESTIN_GRID_ID2363 1.326e+01 4.174e-03 3178.270 < 2e-16 ***
DESTIN_GRID_ID2367 1.374e+01 3.521e-03 3901.632 < 2e-16 ***
DESTIN_GRID_ID2368 1.387e+01 2.731e-03 5077.428 < 2e-16 ***
DESTIN_GRID_ID2369 1.464e+01 2.373e-03 6169.643 < 2e-16 ***
DESTIN_GRID_ID2370 1.551e+01 2.196e-03 7061.609 < 2e-16 ***
DESTIN_GRID_ID2371 1.350e+01 3.043e-03 4434.809 < 2e-16 ***
DESTIN_GRID_ID2390 1.480e+01 2.505e-03 5907.504 < 2e-16 ***
DESTIN_GRID_ID2391 1.456e+01 2.587e-03 5628.563 < 2e-16 ***
DESTIN_GRID_ID2394 1.227e+01 6.112e-03 2007.910 < 2e-16 ***
DESTIN_GRID_ID2395 1.371e+01 2.622e-03 5228.452 < 2e-16 ***
DESTIN_GRID_ID2396 1.380e+01 2.438e-03 5658.025 < 2e-16 ***
DESTIN_GRID_ID2397 1.229e+01 5.788e-03 2123.066 < 2e-16 ***
DESTIN_GRID_ID2398 1.306e+01 4.034e-03 3238.852 < 2e-16 ***
DESTIN_GRID_ID2418 1.401e+01 3.224e-03 4346.199 < 2e-16 ***
DESTIN_GRID_ID2419 1.459e+01 2.802e-03 5206.382 < 2e-16 ***
DESTIN_GRID_ID2422 1.248e+01 9.245e-03 1349.613 < 2e-16 ***
DESTIN_GRID_ID2423 1.288e+01 3.794e-03 3394.089 < 2e-16 ***
DESTIN_GRID_ID2424 1.420e+01 2.414e-03 5884.590 < 2e-16 ***
DESTIN_GRID_ID2425 1.547e+01 2.251e-03 6872.897 < 2e-16 ***
DESTIN_GRID_ID2426 1.363e+01 4.690e-03 2905.605 < 2e-16 ***
DESTIN_GRID_ID2443 1.484e+01 2.534e-03 5856.254 < 2e-16 ***
DESTIN_GRID_ID2445 1.438e+01 2.604e-03 5523.426 < 2e-16 ***
DESTIN_GRID_ID2449 1.273e+01 6.308e-03 2017.952 < 2e-16 ***
DESTIN_GRID_ID2450 1.314e+01 3.136e-03 4191.421 < 2e-16 ***
DESTIN_GRID_ID2451 1.447e+01 2.333e-03 6201.634 < 2e-16 ***
DESTIN_GRID_ID2472 1.185e+01 1.628e-02 728.242 < 2e-16 ***
DESTIN_GRID_ID2473 1.456e+01 2.837e-03 5133.121 < 2e-16 ***
DESTIN_GRID_ID2478 1.336e+01 3.135e-03 4261.912 < 2e-16 ***
DESTIN_GRID_ID2479 1.250e+01 7.903e-03 1582.040 < 2e-16 ***
DESTIN_GRID_ID2497 1.412e+01 2.882e-03 4899.640 < 2e-16 ***
DESTIN_GRID_ID2499 1.343e+01 4.126e-03 3255.053 < 2e-16 ***
DESTIN_GRID_ID2505 1.366e+01 3.282e-03 4163.804 < 2e-16 ***
DESTIN_GRID_ID2527 1.491e+01 2.442e-03 6103.725 < 2e-16 ***
DESTIN_GRID_ID2532 1.273e+01 4.582e-03 2777.341 < 2e-16 ***
DESTIN_GRID_ID2533 1.262e+01 6.617e-03 1906.683 < 2e-16 ***
DESTIN_GRID_ID2551 1.402e+01 3.954e-03 3545.315 < 2e-16 ***
DESTIN_GRID_ID2553 1.330e+01 5.890e-03 2258.544 < 2e-16 ***
DESTIN_GRID_ID2554 1.251e+01 7.309e-03 1710.902 < 2e-16 ***
DESTIN_GRID_ID2559 1.275e+01 5.987e-03 2130.402 < 2e-16 ***
DESTIN_GRID_ID2580 1.431e+01 2.852e-03 5016.362 < 2e-16 ***
DESTIN_GRID_ID2581 1.319e+01 5.270e-03 2503.197 < 2e-16 ***
DESTIN_GRID_ID2607 1.387e+01 2.951e-03 4701.385 < 2e-16 ***
DESTIN_GRID_ID2608 1.285e+01 5.676e-03 2263.693 < 2e-16 ***
DESTIN_GRID_ID2634 1.594e+01 2.274e-03 7008.468 < 2e-16 ***
DESTIN_GRID_ID2635 1.333e+01 3.963e-03 3364.719 < 2e-16 ***
DESTIN_GRID_ID2636 1.412e+01 2.927e-03 4824.970 < 2e-16 ***
DESTIN_GRID_ID2661 1.379e+01 2.823e-03 4885.916 < 2e-16 ***
DESTIN_GRID_ID2663 1.433e+01 2.403e-03 5962.643 < 2e-16 ***
DESTIN_GRID_ID2665 1.470e+01 2.541e-03 5787.318 < 2e-16 ***
DESTIN_GRID_ID2688 1.395e+01 3.046e-03 4577.648 < 2e-16 ***
DESTIN_GRID_ID2689 1.465e+01 2.515e-03 5825.540 < 2e-16 ***
DESTIN_GRID_ID2690 1.423e+01 2.592e-03 5487.991 < 2e-16 ***
DESTIN_GRID_ID2691 1.388e+01 2.592e-03 5355.538 < 2e-16 ***
DESTIN_GRID_ID2693 1.424e+01 2.728e-03 5222.423 < 2e-16 ***
DESTIN_GRID_ID2715 1.386e+01 3.289e-03 4212.311 < 2e-16 ***
DESTIN_GRID_ID2717 1.398e+01 2.425e-03 5764.353 < 2e-16 ***
DESTIN_GRID_ID2718 1.301e+01 4.209e-03 3089.996 < 2e-16 ***
DESTIN_GRID_ID2719 1.409e+01 2.462e-03 5722.769 < 2e-16 ***
DESTIN_GRID_ID2742 1.411e+01 2.943e-03 4795.010 < 2e-16 ***
DESTIN_GRID_ID2743 1.397e+01 3.986e-03 3504.343 < 2e-16 ***
DESTIN_GRID_ID2744 1.450e+01 2.439e-03 5943.719 < 2e-16 ***
DESTIN_GRID_ID2745 1.425e+01 2.434e-03 5856.119 < 2e-16 ***
DESTIN_GRID_ID2747 1.337e+01 3.451e-03 3874.627 < 2e-16 ***
DESTIN_GRID_ID2768 1.414e+01 3.087e-03 4580.396 < 2e-16 ***
DESTIN_GRID_ID2771 1.588e+01 2.157e-03 7363.012 < 2e-16 ***
DESTIN_GRID_ID2773 1.327e+01 3.078e-03 4312.148 < 2e-16 ***
DESTIN_GRID_ID2798 1.262e+01 4.665e-03 2705.535 < 2e-16 ***
DESTIN_GRID_ID2799 1.353e+01 2.742e-03 4934.067 < 2e-16 ***
DESTIN_GRID_ID2800 1.513e+01 2.195e-03 6895.348 < 2e-16 ***
DESTIN_GRID_ID2824 1.495e+01 2.471e-03 6049.032 < 2e-16 ***
DESTIN_GRID_ID2825 1.391e+01 2.463e-03 5646.872 < 2e-16 ***
DESTIN_GRID_ID2826 1.329e+01 3.659e-03 3631.665 < 2e-16 ***
DESTIN_GRID_ID2827 1.572e+01 2.144e-03 7330.487 < 2e-16 ***
DESTIN_GRID_ID2852 1.343e+01 3.556e-03 3778.154 < 2e-16 ***
DESTIN_GRID_ID2853 1.488e+01 2.189e-03 6797.920 < 2e-16 ***
DESTIN_GRID_ID2854 1.422e+01 2.501e-03 5685.263 < 2e-16 ***
DESTIN_GRID_ID2878 1.356e+01 3.490e-03 3885.313 < 2e-16 ***
DESTIN_GRID_ID2879 1.366e+01 2.902e-03 4707.074 < 2e-16 ***
DESTIN_GRID_ID2880 1.306e+01 3.441e-03 3794.371 < 2e-16 ***
DESTIN_GRID_ID2881 1.400e+01 3.059e-03 4576.453 < 2e-16 ***
DESTIN_GRID_ID2907 1.302e+01 4.407e-03 2955.264 < 2e-16 ***
DESTIN_GRID_ID2908 1.430e+01 2.588e-03 5524.182 < 2e-16 ***
DESTIN_GRID_ID2933 1.506e+01 3.111e-03 4838.628 < 2e-16 ***
DESTIN_GRID_ID2934 1.345e+01 3.330e-03 4039.526 < 2e-16 ***
DESTIN_GRID_ID3098 1.453e+01 3.702e-03 3923.882 < 2e-16 ***
log(TORIGIN_BIZ_COUNT) 9.232e-04 9.932e-05 9.295 < 2e-16 ***
log(TORIGIN_FINSERV_COUNT) 7.466e-02 9.535e-05 783.081 < 2e-16 ***
log(TORIGIN_MRTEXIT_COUNT) 4.337e-02 1.623e-04 267.229 < 2e-16 ***
log(TORIGIN_BUSSTOP_COUNT) 2.024e-01 2.485e-04 814.570 < 2e-16 ***
log(TORIGIN_HDBCOMMERCIAL_COUNT) -3.164e-02 1.906e-04 -166.039 < 2e-16 ***
log(TORIGIN_HDBRESIDENTIAL_COUNT) 2.187e-01 4.292e-04 509.538 < 2e-16 ***
log(TORIGIN_HDBCOMM_UNITS) 5.064e-04 6.986e-05 7.250 4.18e-13 ***
log(TORIGIN_HDBRES_UNITS) 2.614e-01 3.802e-04 687.650 < 2e-16 ***
log(TORIGIN_SCHOOLS_COUNT) 1.354e-01 2.189e-04 618.748 < 2e-16 ***
log(DISTANCE) -1.392e+00 1.213e-04 -11468.829 < 2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(Dispersion parameter for poisson family taken to be 1)
Null deviance: 2954357158 on 101715 degrees of freedom
Residual deviance: 140215829 on 101357 degrees of freedom
AIC: 140974771
Number of Fisher Scoring iterations: 6CalcRSquared(decSIM_Poisson$data$TRIPS, decSIM_Poisson$fitted.values)[1] 0.58044077.3 Doubly constrained Model
The general formula of Doubly Constrained Spatial Interaction Model
\[ \lambda{i}{j}= exp(k + \mu{i} + \alpha{i} - \beta \ln d{i}{j}) \]
dbcSIM_Poisson <- glm(formula = TRIPS ~
ORIGIN_GRID_ID +
DESTIN_GRID_ID +
log(DISTANCE),
family = poisson(link = "log"),
data = inter_zonal_flow,
na.action = na.exclude)
summary(dbcSIM_Poisson)
Call:
glm(formula = TRIPS ~ ORIGIN_GRID_ID + DESTIN_GRID_ID + log(DISTANCE),
family = poisson(link = "log"), data = inter_zonal_flow,
na.action = na.exclude)
Coefficients:
Estimate Std. Error z value Pr(>|z|)
(Intercept) 16.1125642 0.0236170 682.245 < 2e-16 ***
ORIGIN_GRID_ID718 4.2633749 0.0232019 183.751 < 2e-16 ***
ORIGIN_GRID_ID745 1.7648468 0.0233087 75.716 < 2e-16 ***
ORIGIN_GRID_ID746 3.7529858 0.0232065 161.721 < 2e-16 ***
ORIGIN_GRID_ID772 3.0617900 0.0231996 131.976 < 2e-16 ***
ORIGIN_GRID_ID799 2.4843271 0.0232732 106.746 < 2e-16 ***
ORIGIN_GRID_ID800 3.6822895 0.0231965 158.743 < 2e-16 ***
ORIGIN_GRID_ID826 3.9616779 0.0231983 170.775 < 2e-16 ***
ORIGIN_GRID_ID827 3.6132465 0.0232149 155.643 < 2e-16 ***
ORIGIN_GRID_ID854 2.4434098 0.0232551 105.070 < 2e-16 ***
ORIGIN_GRID_ID880 1.6658760 0.0233312 71.401 < 2e-16 ***
ORIGIN_GRID_ID881 1.1719320 0.0239361 48.961 < 2e-16 ***
ORIGIN_GRID_ID908 3.4029672 0.0232088 146.624 < 2e-16 ***
ORIGIN_GRID_ID934 2.0374716 0.0232801 87.520 < 2e-16 ***
ORIGIN_GRID_ID935 2.7526252 0.0232306 118.491 < 2e-16 ***
ORIGIN_GRID_ID961 3.0852525 0.0232318 132.803 < 2e-16 ***
ORIGIN_GRID_ID962 3.7950192 0.0232183 163.449 < 2e-16 ***
ORIGIN_GRID_ID987 3.9234555 0.0232143 169.011 < 2e-16 ***
ORIGIN_GRID_ID988 2.0775934 0.0232853 89.223 < 2e-16 ***
ORIGIN_GRID_ID989 3.2940233 0.0232149 141.893 < 2e-16 ***
ORIGIN_GRID_ID1015 2.0264645 0.0233598 86.750 < 2e-16 ***
ORIGIN_GRID_ID1016 2.1806873 0.0232482 93.800 < 2e-16 ***
ORIGIN_GRID_ID1043 2.7233602 0.0233222 116.771 < 2e-16 ***
ORIGIN_GRID_ID1068 -0.0059253 0.0300501 -0.197 0.843686
ORIGIN_GRID_ID1070 3.0417649 0.0232305 130.939 < 2e-16 ***
ORIGIN_GRID_ID1096 2.5310227 0.0232401 108.907 < 2e-16 ***
ORIGIN_GRID_ID1097 2.5051987 0.0233121 107.463 < 2e-16 ***
ORIGIN_GRID_ID1099 4.5266261 0.0232335 194.832 < 2e-16 ***
ORIGIN_GRID_ID1122 3.3904374 0.0232325 145.935 < 2e-16 ***
ORIGIN_GRID_ID1123 3.0750517 0.0232224 132.417 < 2e-16 ***
ORIGIN_GRID_ID1124 2.6884790 0.0232644 115.562 < 2e-16 ***
ORIGIN_GRID_ID1125 3.3692898 0.0232571 144.872 < 2e-16 ***
ORIGIN_GRID_ID1127 3.6248522 0.0232446 155.944 < 2e-16 ***
ORIGIN_GRID_ID1128 3.3628161 0.0232800 144.451 < 2e-16 ***
ORIGIN_GRID_ID1148 1.7672066 0.0233482 75.689 < 2e-16 ***
ORIGIN_GRID_ID1150 3.4870270 0.0232169 150.194 < 2e-16 ***
ORIGIN_GRID_ID1151 2.9182796 0.0232427 125.557 < 2e-16 ***
ORIGIN_GRID_ID1152 3.3245668 0.0232735 142.848 < 2e-16 ***
ORIGIN_GRID_ID1153 4.1756863 0.0232517 179.586 < 2e-16 ***
ORIGIN_GRID_ID1154 4.0253482 0.0232397 173.210 < 2e-16 ***
ORIGIN_GRID_ID1155 0.8246997 0.0254086 32.457 < 2e-16 ***
ORIGIN_GRID_ID1176 2.1912876 0.0232932 94.074 < 2e-16 ***
ORIGIN_GRID_ID1178 2.4010630 0.0232495 103.274 < 2e-16 ***
ORIGIN_GRID_ID1179 2.2145602 0.0232881 95.094 < 2e-16 ***
ORIGIN_GRID_ID1180 1.5077843 0.0238094 63.327 < 2e-16 ***
ORIGIN_GRID_ID1181 2.7959993 0.0232564 120.225 < 2e-16 ***
ORIGIN_GRID_ID1182 3.2302305 0.0232515 138.926 < 2e-16 ***
ORIGIN_GRID_ID1183 3.6317566 0.0233125 155.786 < 2e-16 ***
ORIGIN_GRID_ID1205 3.6432924 0.0232241 156.875 < 2e-16 ***
ORIGIN_GRID_ID1206 2.7560662 0.0232697 118.440 < 2e-16 ***
ORIGIN_GRID_ID1207 2.6604516 0.0233286 114.042 < 2e-16 ***
ORIGIN_GRID_ID1209 3.3744263 0.0232792 144.955 < 2e-16 ***
ORIGIN_GRID_ID1232 3.0134771 0.0232294 129.727 < 2e-16 ***
ORIGIN_GRID_ID1233 2.5781860 0.0233473 110.428 < 2e-16 ***
ORIGIN_GRID_ID1235 3.5453494 0.0232680 152.370 < 2e-16 ***
ORIGIN_GRID_ID1255 1.6845012 0.0254901 66.085 < 2e-16 ***
ORIGIN_GRID_ID1258 2.3864664 0.0233543 102.185 < 2e-16 ***
ORIGIN_GRID_ID1259 2.6849757 0.0232576 115.445 < 2e-16 ***
ORIGIN_GRID_ID1261 2.5993267 0.0232708 111.699 < 2e-16 ***
ORIGIN_GRID_ID1262 3.5408514 0.0232431 152.340 < 2e-16 ***
ORIGIN_GRID_ID1283 1.7905943 0.0233233 76.773 < 2e-16 ***
ORIGIN_GRID_ID1284 2.1991802 0.0233421 94.215 < 2e-16 ***
ORIGIN_GRID_ID1286 2.0101286 0.0234687 85.651 < 2e-16 ***
ORIGIN_GRID_ID1289 2.6741869 0.0232584 114.977 < 2e-16 ***
ORIGIN_GRID_ID1309 3.5788512 0.0232422 153.980 < 2e-16 ***
ORIGIN_GRID_ID1310 3.6040366 0.0232288 155.154 < 2e-16 ***
ORIGIN_GRID_ID1315 3.1176907 0.0232455 134.120 < 2e-16 ***
ORIGIN_GRID_ID1316 1.9991755 0.0234110 85.395 < 2e-16 ***
ORIGIN_GRID_ID1337 2.4754532 0.0232398 106.518 < 2e-16 ***
ORIGIN_GRID_ID1338 2.1648600 0.0237556 91.131 < 2e-16 ***
ORIGIN_GRID_ID1343 2.4927448 0.0232849 107.054 < 2e-16 ***
ORIGIN_GRID_ID1363 2.0333090 0.0233957 86.909 < 2e-16 ***
ORIGIN_GRID_ID1364 1.8825533 0.0232959 80.811 < 2e-16 ***
ORIGIN_GRID_ID1366 2.5281520 0.0233312 108.359 < 2e-16 ***
ORIGIN_GRID_ID1369 3.2429156 0.0232426 139.525 < 2e-16 ***
ORIGIN_GRID_ID1370 3.7602055 0.0232638 161.634 < 2e-16 ***
ORIGIN_GRID_ID1374 1.6441818 0.0233937 70.283 < 2e-16 ***
ORIGIN_GRID_ID1375 3.0965418 0.0234476 132.062 < 2e-16 ***
ORIGIN_GRID_ID1391 1.0111452 0.0236689 42.720 < 2e-16 ***
ORIGIN_GRID_ID1392 1.6274333 0.0234984 69.257 < 2e-16 ***
ORIGIN_GRID_ID1396 1.7869240 0.0239482 74.616 < 2e-16 ***
ORIGIN_GRID_ID1397 2.3105881 0.0233662 98.886 < 2e-16 ***
ORIGIN_GRID_ID1401 3.1388325 0.0232996 134.716 < 2e-16 ***
ORIGIN_GRID_ID1402 3.4001401 0.0232688 146.124 < 2e-16 ***
ORIGIN_GRID_ID1423 4.2519905 0.0239249 177.723 < 2e-16 ***
ORIGIN_GRID_ID1428 2.7191299 0.0232937 116.733 < 2e-16 ***
ORIGIN_GRID_ID1429 2.2456055 0.0234313 95.838 < 2e-16 ***
ORIGIN_GRID_ID1455 1.4985219 0.0233759 64.105 < 2e-16 ***
ORIGIN_GRID_ID1456 2.6472942 0.0232787 113.722 < 2e-16 ***
ORIGIN_GRID_ID1471 2.7950695 0.0232828 120.049 < 2e-16 ***
ORIGIN_GRID_ID1482 2.2919194 0.0232883 98.415 < 2e-16 ***
ORIGIN_GRID_ID1499 2.8509869 0.0232891 122.417 < 2e-16 ***
ORIGIN_GRID_ID1509 1.9389867 0.0234684 82.621 < 2e-16 ***
ORIGIN_GRID_ID1510 3.7764166 0.0232574 162.375 < 2e-16 ***
ORIGIN_GRID_ID1525 2.5106599 0.0232889 107.805 < 2e-16 ***
ORIGIN_GRID_ID1536 2.4395402 0.0232797 104.793 < 2e-16 ***
ORIGIN_GRID_ID1537 1.5066609 0.0234947 64.128 < 2e-16 ***
ORIGIN_GRID_ID1552 -0.8181267 0.0272329 -30.042 < 2e-16 ***
ORIGIN_GRID_ID1553 1.4324086 0.0233782 61.271 < 2e-16 ***
ORIGIN_GRID_ID1563 2.1279984 0.0234361 90.800 < 2e-16 ***
ORIGIN_GRID_ID1564 3.1681698 0.0232579 136.219 < 2e-16 ***
ORIGIN_GRID_ID1578 0.3759345 0.0242668 15.492 < 2e-16 ***
ORIGIN_GRID_ID1579 2.9591412 0.0232752 127.137 < 2e-16 ***
ORIGIN_GRID_ID1590 3.2437444 0.0232643 139.430 < 2e-16 ***
ORIGIN_GRID_ID1591 3.2662952 0.0232683 140.375 < 2e-16 ***
ORIGIN_GRID_ID1605 1.7030536 0.0233489 72.939 < 2e-16 ***
ORIGIN_GRID_ID1606 1.5007387 0.0233506 64.270 < 2e-16 ***
ORIGIN_GRID_ID1617 1.6670098 0.0239204 69.690 < 2e-16 ***
ORIGIN_GRID_ID1618 3.2061690 0.0232694 137.785 < 2e-16 ***
ORIGIN_GRID_ID1631 0.6410697 0.0237513 26.991 < 2e-16 ***
ORIGIN_GRID_ID1632 2.0281669 0.0232871 87.094 < 2e-16 ***
ORIGIN_GRID_ID1634 2.3524929 0.0234759 100.209 < 2e-16 ***
ORIGIN_GRID_ID1644 2.1330017 0.0233485 91.355 < 2e-16 ***
ORIGIN_GRID_ID1645 3.1067914 0.0232697 133.513 < 2e-16 ***
ORIGIN_GRID_ID1658 2.2872250 0.0233084 98.129 < 2e-16 ***
ORIGIN_GRID_ID1659 2.0180251 0.0232853 86.665 < 2e-16 ***
ORIGIN_GRID_ID1672 1.7790278 0.0234537 75.853 < 2e-16 ***
ORIGIN_GRID_ID1684 2.2193981 0.0233240 95.155 < 2e-16 ***
ORIGIN_GRID_ID1685 1.1269060 0.0234522 48.051 < 2e-16 ***
ORIGIN_GRID_ID1686 2.0512207 0.0233004 88.034 < 2e-16 ***
ORIGIN_GRID_ID1688 -0.2850933 0.0284489 -10.021 < 2e-16 ***
ORIGIN_GRID_ID1699 1.5754643 0.0233555 67.456 < 2e-16 ***
ORIGIN_GRID_ID1700 -0.6234412 0.0323011 -19.301 < 2e-16 ***
ORIGIN_GRID_ID1712 1.1127577 0.0234608 47.430 < 2e-16 ***
ORIGIN_GRID_ID1713 2.5070004 0.0232511 107.823 < 2e-16 ***
ORIGIN_GRID_ID1727 3.7063186 0.0232622 159.328 < 2e-16 ***
ORIGIN_GRID_ID1739 1.6721728 0.0232901 71.798 < 2e-16 ***
ORIGIN_GRID_ID1753 3.2562216 0.0232703 139.930 < 2e-16 ***
ORIGIN_GRID_ID1754 2.6163420 0.0233540 112.030 < 2e-16 ***
ORIGIN_GRID_ID1766 2.5529983 0.0232520 109.797 < 2e-16 ***
ORIGIN_GRID_ID1767 2.1105025 0.0232512 90.770 < 2e-16 ***
ORIGIN_GRID_ID1780 0.7608908 0.0239259 31.802 < 2e-16 ***
ORIGIN_GRID_ID1781 2.5972891 0.0232847 111.545 < 2e-16 ***
ORIGIN_GRID_ID1792 1.6598381 0.0233260 71.158 < 2e-16 ***
ORIGIN_GRID_ID1793 2.1823499 0.0232515 93.859 < 2e-16 ***
ORIGIN_GRID_ID1794 0.8845130 0.0234656 37.694 < 2e-16 ***
ORIGIN_GRID_ID1807 2.1589604 0.0233033 92.646 < 2e-16 ***
ORIGIN_GRID_ID1820 1.6874053 0.0233350 72.312 < 2e-16 ***
ORIGIN_GRID_ID1821 3.0519248 0.0232434 131.303 < 2e-16 ***
ORIGIN_GRID_ID1833 3.0698158 0.0232579 131.990 < 2e-16 ***
ORIGIN_GRID_ID1835 2.7033573 0.0233294 115.878 < 2e-16 ***
ORIGIN_GRID_ID1847 1.4353696 0.0235081 61.059 < 2e-16 ***
ORIGIN_GRID_ID1854 1.3187113 0.0238708 55.244 < 2e-16 ***
ORIGIN_GRID_ID1859 1.9305888 0.0232817 82.923 < 2e-16 ***
ORIGIN_GRID_ID1860 2.4729031 0.0232746 106.249 < 2e-16 ***
ORIGIN_GRID_ID1861 3.3077045 0.0232882 142.034 < 2e-16 ***
ORIGIN_GRID_ID1874 1.5434933 0.0233604 66.073 < 2e-16 ***
ORIGIN_GRID_ID1875 1.6215017 0.0232747 69.668 < 2e-16 ***
ORIGIN_GRID_ID1882 2.7150416 0.0232811 116.620 < 2e-16 ***
ORIGIN_GRID_ID1883 2.1317524 0.0234259 91.000 < 2e-16 ***
ORIGIN_GRID_ID1886 3.4356812 0.0232610 147.701 < 2e-16 ***
ORIGIN_GRID_ID1887 3.1760307 0.0232591 136.550 < 2e-16 ***
ORIGIN_GRID_ID1888 2.3067395 0.0233476 98.800 < 2e-16 ***
ORIGIN_GRID_ID1905 0.6153094 0.0236403 26.028 < 2e-16 ***
ORIGIN_GRID_ID1907 2.1896142 0.0233380 93.822 < 2e-16 ***
ORIGIN_GRID_ID1908 1.4735654 0.0234526 62.832 < 2e-16 ***
ORIGIN_GRID_ID1909 2.8446237 0.0232683 122.253 < 2e-16 ***
ORIGIN_GRID_ID1912 0.5320271 0.0247281 21.515 < 2e-16 ***
ORIGIN_GRID_ID1913 1.9310617 0.0233123 82.834 < 2e-16 ***
ORIGIN_GRID_ID1914 3.6051353 0.0232601 154.992 < 2e-16 ***
ORIGIN_GRID_ID1928 1.1758266 0.0233826 50.286 < 2e-16 ***
ORIGIN_GRID_ID1929 1.0256940 0.0235483 43.557 < 2e-16 ***
ORIGIN_GRID_ID1933 1.7390948 0.0233801 74.383 < 2e-16 ***
ORIGIN_GRID_ID1935 2.0910013 0.0233354 89.606 < 2e-16 ***
ORIGIN_GRID_ID1936 2.5094349 0.0232845 107.773 < 2e-16 ***
ORIGIN_GRID_ID1937 1.9568636 0.0233594 83.772 < 2e-16 ***
ORIGIN_GRID_ID1940 3.6859451 0.0232588 158.475 < 2e-16 ***
ORIGIN_GRID_ID1941 2.7634391 0.0232857 118.675 < 2e-16 ***
ORIGIN_GRID_ID1942 2.3484717 0.0235945 99.535 < 2e-16 ***
ORIGIN_GRID_ID1955 2.5392680 0.0232718 109.114 < 2e-16 ***
ORIGIN_GRID_ID1959 2.3540862 0.0232699 101.164 < 2e-16 ***
ORIGIN_GRID_ID1960 2.5575724 0.0232672 109.922 < 2e-16 ***
ORIGIN_GRID_ID1962 2.2359749 0.0232874 96.016 < 2e-16 ***
ORIGIN_GRID_ID1963 1.4164679 0.0233107 60.765 < 2e-16 ***
ORIGIN_GRID_ID1967 4.0017014 0.0232593 172.047 < 2e-16 ***
ORIGIN_GRID_ID1968 4.0609401 0.0232692 174.520 < 2e-16 ***
ORIGIN_GRID_ID1985 1.3184571 0.0234141 56.310 < 2e-16 ***
ORIGIN_GRID_ID1987 2.9371745 0.0232454 126.355 < 2e-16 ***
ORIGIN_GRID_ID1988 1.5704686 0.0233267 67.325 < 2e-16 ***
ORIGIN_GRID_ID1989 1.8301680 0.0233345 78.432 < 2e-16 ***
ORIGIN_GRID_ID1990 3.7826724 0.0232392 162.771 < 2e-16 ***
ORIGIN_GRID_ID1994 2.1303420 0.0238014 89.505 < 2e-16 ***
ORIGIN_GRID_ID1995 4.3041642 0.0232607 185.040 < 2e-16 ***
ORIGIN_GRID_ID2010 1.3281933 0.0233246 56.944 < 2e-16 ***
ORIGIN_GRID_ID2011 2.2697972 0.0232602 97.583 < 2e-16 ***
ORIGIN_GRID_ID2012 1.1671609 0.0235030 49.660 < 2e-16 ***
ORIGIN_GRID_ID2013 1.7534898 0.0232901 75.289 < 2e-16 ***
ORIGIN_GRID_ID2014 2.1571507 0.0232747 92.682 < 2e-16 ***
ORIGIN_GRID_ID2015 2.2567765 0.0233604 96.607 < 2e-16 ***
ORIGIN_GRID_ID2016 2.1579985 0.0232794 92.700 < 2e-16 ***
ORIGIN_GRID_ID2017 2.1209920 0.0232827 91.097 < 2e-16 ***
ORIGIN_GRID_ID2021 2.4365469 0.0234550 103.882 < 2e-16 ***
ORIGIN_GRID_ID2038 1.7947281 0.0232670 77.136 < 2e-16 ***
ORIGIN_GRID_ID2039 2.4686852 0.0233044 105.932 < 2e-16 ***
ORIGIN_GRID_ID2040 2.7863388 0.0232524 119.830 < 2e-16 ***
ORIGIN_GRID_ID2041 3.6940838 0.0232447 158.922 < 2e-16 ***
ORIGIN_GRID_ID2042 2.4543852 0.0233282 105.211 < 2e-16 ***
ORIGIN_GRID_ID2043 0.8088389 0.0237169 34.104 < 2e-16 ***
ORIGIN_GRID_ID2044 3.0634090 0.0232463 131.780 < 2e-16 ***
ORIGIN_GRID_ID2064 -0.6365948 0.0248444 -25.623 < 2e-16 ***
ORIGIN_GRID_ID2065 1.4312270 0.0233199 61.374 < 2e-16 ***
ORIGIN_GRID_ID2066 1.5175092 0.0233198 65.074 < 2e-16 ***
ORIGIN_GRID_ID2067 2.6021698 0.0232854 111.751 < 2e-16 ***
ORIGIN_GRID_ID2068 2.6709431 0.0232850 114.707 < 2e-16 ***
ORIGIN_GRID_ID2070 2.6515076 0.0233041 113.779 < 2e-16 ***
ORIGIN_GRID_ID2071 2.1529991 0.0233784 92.094 < 2e-16 ***
ORIGIN_GRID_ID2093 1.7696503 0.0232758 76.030 < 2e-16 ***
ORIGIN_GRID_ID2094 2.3490627 0.0233007 100.815 < 2e-16 ***
ORIGIN_GRID_ID2095 2.8957578 0.0233551 123.988 < 2e-16 ***
ORIGIN_GRID_ID2098 1.2424659 0.0235527 52.753 < 2e-16 ***
ORIGIN_GRID_ID2119 1.9041322 0.0233085 81.692 < 2e-16 ***
ORIGIN_GRID_ID2120 1.5563948 0.0233448 66.670 < 2e-16 ***
ORIGIN_GRID_ID2123 1.7304196 0.0232988 74.271 < 2e-16 ***
ORIGIN_GRID_ID2147 2.0184237 0.0232757 86.718 < 2e-16 ***
ORIGIN_GRID_ID2148 2.8891949 0.0232472 124.281 < 2e-16 ***
ORIGIN_GRID_ID2149 1.9867106 0.0233495 85.086 < 2e-16 ***
ORIGIN_GRID_ID2150 0.3766063 0.0235629 15.983 < 2e-16 ***
ORIGIN_GRID_ID2151 1.3421957 0.0233456 57.493 < 2e-16 ***
ORIGIN_GRID_ID2152 2.5587735 0.0233105 109.769 < 2e-16 ***
ORIGIN_GRID_ID2154 2.8419154 0.0233889 121.507 < 2e-16 ***
ORIGIN_GRID_ID2174 1.0600645 0.0234939 45.121 < 2e-16 ***
ORIGIN_GRID_ID2177 3.5191024 0.0232437 151.400 < 2e-16 ***
ORIGIN_GRID_ID2178 2.2622495 0.0232632 97.246 < 2e-16 ***
ORIGIN_GRID_ID2179 2.6283157 0.0232817 112.892 < 2e-16 ***
ORIGIN_GRID_ID2180 3.2211876 0.0233278 138.083 < 2e-16 ***
ORIGIN_GRID_ID2201 2.5852297 0.0232626 111.133 < 2e-16 ***
ORIGIN_GRID_ID2203 2.3343276 0.0234102 99.714 < 2e-16 ***
ORIGIN_GRID_ID2204 0.9643884 0.0234242 41.171 < 2e-16 ***
ORIGIN_GRID_ID2205 1.4188447 0.0232844 60.935 < 2e-16 ***
ORIGIN_GRID_ID2206 3.5825513 0.0232395 154.158 < 2e-16 ***
ORIGIN_GRID_ID2208 3.7498943 0.0232799 161.079 < 2e-16 ***
ORIGIN_GRID_ID2228 1.9725276 0.0232991 84.661 < 2e-16 ***
ORIGIN_GRID_ID2231 1.8709802 0.0232802 80.368 < 2e-16 ***
ORIGIN_GRID_ID2233 3.6774600 0.0232402 158.237 < 2e-16 ***
ORIGIN_GRID_ID2234 -0.2259856 0.0340527 -6.636 3.22e-11 ***
ORIGIN_GRID_ID2235 0.8323161 0.0309850 26.862 < 2e-16 ***
ORIGIN_GRID_ID2254 1.2368696 0.0245620 50.357 < 2e-16 ***
ORIGIN_GRID_ID2255 2.4482239 0.0232961 105.091 < 2e-16 ***
ORIGIN_GRID_ID2256 1.9763851 0.0233082 84.794 < 2e-16 ***
ORIGIN_GRID_ID2257 0.6817746 0.0262409 25.981 < 2e-16 ***
ORIGIN_GRID_ID2259 0.8698694 0.0238589 36.459 < 2e-16 ***
ORIGIN_GRID_ID2260 2.9113123 0.0232530 125.201 < 2e-16 ***
ORIGIN_GRID_ID2261 3.2397190 0.0232489 139.349 < 2e-16 ***
ORIGIN_GRID_ID2262 3.0960172 0.0233611 132.529 < 2e-16 ***
ORIGIN_GRID_ID2281 2.2587093 0.0233878 96.576 < 2e-16 ***
ORIGIN_GRID_ID2282 1.9152084 0.0233446 82.041 < 2e-16 ***
ORIGIN_GRID_ID2283 2.4864564 0.0232679 106.862 < 2e-16 ***
ORIGIN_GRID_ID2285 2.9099305 0.0232584 125.113 < 2e-16 ***
ORIGIN_GRID_ID2286 1.6279757 0.0233580 69.697 < 2e-16 ***
ORIGIN_GRID_ID2287 3.5374709 0.0232393 152.219 < 2e-16 ***
ORIGIN_GRID_ID2288 2.1034507 0.0236423 88.970 < 2e-16 ***
ORIGIN_GRID_ID2310 1.9061263 0.0232958 81.823 < 2e-16 ***
ORIGIN_GRID_ID2312 -0.0545135 0.0255062 -2.137 0.032577 *
ORIGIN_GRID_ID2313 2.3884699 0.0232740 102.624 < 2e-16 ***
ORIGIN_GRID_ID2314 3.1070292 0.0232417 133.683 < 2e-16 ***
ORIGIN_GRID_ID2315 2.3241021 0.0232863 99.805 < 2e-16 ***
ORIGIN_GRID_ID2316 3.9733089 0.0232448 170.933 < 2e-16 ***
ORIGIN_GRID_ID2335 0.0981577 0.0255758 3.838 0.000124 ***
ORIGIN_GRID_ID2339 2.0965353 0.0233338 89.850 < 2e-16 ***
ORIGIN_GRID_ID2340 2.9593494 0.0232491 127.289 < 2e-16 ***
ORIGIN_GRID_ID2341 2.5911169 0.0232523 111.435 < 2e-16 ***
ORIGIN_GRID_ID2342 2.5573485 0.0232682 109.907 < 2e-16 ***
ORIGIN_GRID_ID2343 2.6782215 0.0233171 114.861 < 2e-16 ***
ORIGIN_GRID_ID2363 1.5915342 0.0234342 67.915 < 2e-16 ***
ORIGIN_GRID_ID2367 2.0747157 0.0233550 88.834 < 2e-16 ***
ORIGIN_GRID_ID2368 2.7486646 0.0232624 118.159 < 2e-16 ***
ORIGIN_GRID_ID2369 2.8419439 0.0232829 122.062 < 2e-16 ***
ORIGIN_GRID_ID2370 3.4648977 0.0232492 149.033 < 2e-16 ***
ORIGIN_GRID_ID2371 3.3012905 0.0232698 141.870 < 2e-16 ***
ORIGIN_GRID_ID2390 2.0503745 0.0233451 87.829 < 2e-16 ***
ORIGIN_GRID_ID2391 1.6765538 0.0233285 71.867 < 2e-16 ***
ORIGIN_GRID_ID2394 1.4214014 0.0236173 60.185 < 2e-16 ***
ORIGIN_GRID_ID2395 3.6637799 0.0232496 157.584 < 2e-16 ***
ORIGIN_GRID_ID2396 3.3834015 0.0232459 145.548 < 2e-16 ***
ORIGIN_GRID_ID2397 2.4823519 0.0233246 106.426 < 2e-16 ***
ORIGIN_GRID_ID2398 2.7108087 0.0233394 116.148 < 2e-16 ***
ORIGIN_GRID_ID2418 1.6690451 0.0233963 71.338 < 2e-16 ***
ORIGIN_GRID_ID2419 1.1631900 0.0235450 49.403 < 2e-16 ***
ORIGIN_GRID_ID2422 2.1607745 0.0240306 89.918 < 2e-16 ***
ORIGIN_GRID_ID2423 2.6476238 0.0233276 113.497 < 2e-16 ***
ORIGIN_GRID_ID2424 3.6854741 0.0232428 158.564 < 2e-16 ***
ORIGIN_GRID_ID2425 3.3763511 0.0232637 145.134 < 2e-16 ***
ORIGIN_GRID_ID2426 3.0150934 0.0235139 128.226 < 2e-16 ***
ORIGIN_GRID_ID2443 2.5603054 0.0232999 109.885 < 2e-16 ***
ORIGIN_GRID_ID2445 2.6654463 0.0232624 114.582 < 2e-16 ***
ORIGIN_GRID_ID2449 3.2802229 0.0233907 140.236 < 2e-16 ***
ORIGIN_GRID_ID2450 3.3311394 0.0232736 143.129 < 2e-16 ***
ORIGIN_GRID_ID2451 3.6855280 0.0232504 158.514 < 2e-16 ***
ORIGIN_GRID_ID2472 0.3253937 0.0293671 11.080 < 2e-16 ***
ORIGIN_GRID_ID2473 2.1956839 0.0233154 94.173 < 2e-16 ***
ORIGIN_GRID_ID2478 2.8114272 0.0232959 120.684 < 2e-16 ***
ORIGIN_GRID_ID2479 1.5458081 0.0239448 64.557 < 2e-16 ***
ORIGIN_GRID_ID2497 2.3653690 0.0232903 101.560 < 2e-16 ***
ORIGIN_GRID_ID2499 2.7168070 0.0233099 116.552 < 2e-16 ***
ORIGIN_GRID_ID2505 3.0403066 0.0233144 130.405 < 2e-16 ***
ORIGIN_GRID_ID2527 2.7578771 0.0232766 118.483 < 2e-16 ***
ORIGIN_GRID_ID2532 3.0422189 0.0233316 130.391 < 2e-16 ***
ORIGIN_GRID_ID2533 3.7669573 0.0234247 160.811 < 2e-16 ***
ORIGIN_GRID_ID2551 2.0681389 0.0233833 88.445 < 2e-16 ***
ORIGIN_GRID_ID2553 2.0431180 0.0235588 86.724 < 2e-16 ***
ORIGIN_GRID_ID2554 0.9004110 0.0240383 37.457 < 2e-16 ***
ORIGIN_GRID_ID2559 3.2214239 0.0233832 137.766 < 2e-16 ***
ORIGIN_GRID_ID2580 2.5167059 0.0232827 108.093 < 2e-16 ***
ORIGIN_GRID_ID2581 1.9913346 0.0234841 84.795 < 2e-16 ***
ORIGIN_GRID_ID2607 3.1084780 0.0232557 133.665 < 2e-16 ***
ORIGIN_GRID_ID2608 1.7086519 0.0235199 72.647 < 2e-16 ***
ORIGIN_GRID_ID2634 3.3023539 0.0232609 141.970 < 2e-16 ***
ORIGIN_GRID_ID2635 3.1432337 0.0232831 135.001 < 2e-16 ***
ORIGIN_GRID_ID2636 2.7443450 0.0233030 117.768 < 2e-16 ***
ORIGIN_GRID_ID2661 2.4894337 0.0232689 106.986 < 2e-16 ***
ORIGIN_GRID_ID2663 3.4055803 0.0232515 146.467 < 2e-16 ***
ORIGIN_GRID_ID2665 2.4197313 0.0233483 103.636 < 2e-16 ***
ORIGIN_GRID_ID2688 2.4900803 0.0232774 106.974 < 2e-16 ***
ORIGIN_GRID_ID2689 2.7058280 0.0232839 116.210 < 2e-16 ***
ORIGIN_GRID_ID2690 1.6513356 0.0233357 70.764 < 2e-16 ***
ORIGIN_GRID_ID2691 3.3951766 0.0232519 146.017 < 2e-16 ***
ORIGIN_GRID_ID2693 3.0043751 0.0232753 129.080 < 2e-16 ***
ORIGIN_GRID_ID2715 3.1540649 0.0232778 135.497 < 2e-16 ***
ORIGIN_GRID_ID2717 1.9065119 0.0232752 81.912 < 2e-16 ***
ORIGIN_GRID_ID2718 2.3835564 0.0233327 102.155 < 2e-16 ***
ORIGIN_GRID_ID2719 3.1398021 0.0232543 135.020 < 2e-16 ***
ORIGIN_GRID_ID2742 2.3849578 0.0233169 102.284 < 2e-16 ***
ORIGIN_GRID_ID2743 1.4954291 0.0237490 62.968 < 2e-16 ***
ORIGIN_GRID_ID2744 2.2824259 0.0232779 98.051 < 2e-16 ***
ORIGIN_GRID_ID2745 2.1625209 0.0232711 92.927 < 2e-16 ***
ORIGIN_GRID_ID2747 2.0698599 0.0233229 88.748 < 2e-16 ***
ORIGIN_GRID_ID2768 2.7648499 0.0232977 118.675 < 2e-16 ***
ORIGIN_GRID_ID2771 3.0307035 0.0232557 130.321 < 2e-16 ***
ORIGIN_GRID_ID2773 2.1949123 0.0232821 94.275 < 2e-16 ***
ORIGIN_GRID_ID2798 1.5861885 0.0233787 67.848 < 2e-16 ***
ORIGIN_GRID_ID2799 2.3413552 0.0232642 100.642 < 2e-16 ***
ORIGIN_GRID_ID2800 2.1641159 0.0232865 92.934 < 2e-16 ***
ORIGIN_GRID_ID2824 1.8916401 0.0233825 80.900 < 2e-16 ***
ORIGIN_GRID_ID2825 2.4423714 0.0232589 105.008 < 2e-16 ***
ORIGIN_GRID_ID2826 2.6205062 0.0233068 112.435 < 2e-16 ***
ORIGIN_GRID_ID2827 2.8183816 0.0232755 121.088 < 2e-16 ***
ORIGIN_GRID_ID2852 2.6680986 0.0232891 114.564 < 2e-16 ***
ORIGIN_GRID_ID2853 2.7189345 0.0232537 116.925 < 2e-16 ***
ORIGIN_GRID_ID2854 2.7310983 0.0232610 117.411 < 2e-16 ***
ORIGIN_GRID_ID2878 1.7561640 0.0233723 75.139 < 2e-16 ***
ORIGIN_GRID_ID2879 2.4746224 0.0232847 106.277 < 2e-16 ***
ORIGIN_GRID_ID2880 2.3251736 0.0232855 99.855 < 2e-16 ***
ORIGIN_GRID_ID2881 2.7750839 0.0232690 119.261 < 2e-16 ***
ORIGIN_GRID_ID2907 2.3817211 0.0233176 102.143 < 2e-16 ***
ORIGIN_GRID_ID2908 2.7447405 0.0232830 117.886 < 2e-16 ***
ORIGIN_GRID_ID2933 0.5701004 0.0245064 23.263 < 2e-16 ***
ORIGIN_GRID_ID2934 2.0163148 0.0233339 86.411 < 2e-16 ***
ORIGIN_GRID_ID3098 1.9928416 0.0238055 83.714 < 2e-16 ***
DESTIN_GRID_ID718 0.0823635 0.0044988 18.308 < 2e-16 ***
DESTIN_GRID_ID745 -1.9939132 0.0051018 -390.826 < 2e-16 ***
DESTIN_GRID_ID746 -0.9470953 0.0046995 -201.529 < 2e-16 ***
DESTIN_GRID_ID772 -0.1714047 0.0043693 -39.230 < 2e-16 ***
DESTIN_GRID_ID799 0.2103176 0.0044425 47.343 < 2e-16 ***
DESTIN_GRID_ID800 -1.0145039 0.0044925 -225.823 < 2e-16 ***
DESTIN_GRID_ID826 1.4296727 0.0043520 328.510 < 2e-16 ***
DESTIN_GRID_ID827 -0.0261523 0.0045821 -5.707 1.15e-08 ***
DESTIN_GRID_ID854 -1.3074540 0.0048204 -271.233 < 2e-16 ***
DESTIN_GRID_ID880 -1.7866769 0.0054340 -328.795 < 2e-16 ***
DESTIN_GRID_ID881 -1.1496039 0.0054470 -211.052 < 2e-16 ***
DESTIN_GRID_ID908 -0.7412035 0.0046001 -161.128 < 2e-16 ***
DESTIN_GRID_ID934 -0.5367163 0.0046128 -116.354 < 2e-16 ***
DESTIN_GRID_ID935 -0.7987989 0.0046979 -170.032 < 2e-16 ***
DESTIN_GRID_ID961 -0.9511110 0.0048298 -196.928 < 2e-16 ***
DESTIN_GRID_ID962 1.3906919 0.0044201 314.630 < 2e-16 ***
DESTIN_GRID_ID987 0.3625368 0.0045130 80.332 < 2e-16 ***
DESTIN_GRID_ID988 -1.9095357 0.0053643 -355.971 < 2e-16 ***
DESTIN_GRID_ID989 -0.5775397 0.0046354 -124.592 < 2e-16 ***
DESTIN_GRID_ID1015 -3.3568406 0.0094606 -354.825 < 2e-16 ***
DESTIN_GRID_ID1016 -1.5490237 0.0049184 -314.946 < 2e-16 ***
DESTIN_GRID_ID1043 -0.6893444 0.0051338 -134.276 < 2e-16 ***
DESTIN_GRID_ID1068 -2.9439457 0.0210822 -139.641 < 2e-16 ***
DESTIN_GRID_ID1070 -0.3003529 0.0045749 -65.652 < 2e-16 ***
DESTIN_GRID_ID1096 -0.8072654 0.0046611 -173.191 < 2e-16 ***
DESTIN_GRID_ID1097 -1.2524697 0.0051443 -243.469 < 2e-16 ***
DESTIN_GRID_ID1099 -1.0558506 0.0047761 -221.071 < 2e-16 ***
DESTIN_GRID_ID1122 -0.0471629 0.0048825 -9.660 < 2e-16 ***
DESTIN_GRID_ID1123 0.9231916 0.0044351 208.156 < 2e-16 ***
DESTIN_GRID_ID1124 -0.4216772 0.0046771 -90.157 < 2e-16 ***
DESTIN_GRID_ID1125 -1.2703994 0.0051340 -247.447 < 2e-16 ***
DESTIN_GRID_ID1127 -1.8894680 0.0048631 -388.531 < 2e-16 ***
DESTIN_GRID_ID1128 -0.7553649 0.0050946 -148.269 < 2e-16 ***
DESTIN_GRID_ID1148 -1.0911877 0.0052601 -207.448 < 2e-16 ***
DESTIN_GRID_ID1150 -0.3469434 0.0046223 -75.059 < 2e-16 ***
DESTIN_GRID_ID1151 -1.1280472 0.0047968 -235.166 < 2e-16 ***
DESTIN_GRID_ID1152 -1.2148721 0.0054577 -222.599 < 2e-16 ***
DESTIN_GRID_ID1153 -1.5837785 0.0048119 -329.136 < 2e-16 ***
DESTIN_GRID_ID1154 0.6972009 0.0045499 153.234 < 2e-16 ***
DESTIN_GRID_ID1155 -4.0144873 0.0177955 -225.590 < 2e-16 ***
DESTIN_GRID_ID1176 -0.1048868 0.0046404 -22.603 < 2e-16 ***
DESTIN_GRID_ID1178 -1.1398480 0.0047441 -240.267 < 2e-16 ***
DESTIN_GRID_ID1179 -2.0660169 0.0053464 -386.429 < 2e-16 ***
DESTIN_GRID_ID1180 -3.5533893 0.0110291 -322.183 < 2e-16 ***
DESTIN_GRID_ID1181 -0.8437415 0.0046293 -182.260 < 2e-16 ***
DESTIN_GRID_ID1182 -1.2955460 0.0049016 -264.311 < 2e-16 ***
DESTIN_GRID_ID1183 -1.1718745 0.0066371 -176.565 < 2e-16 ***
DESTIN_GRID_ID1205 0.7458944 0.0044843 166.335 < 2e-16 ***
DESTIN_GRID_ID1206 -0.7798289 0.0047935 -162.684 < 2e-16 ***
DESTIN_GRID_ID1207 -1.2047369 0.0049191 -244.910 < 2e-16 ***
DESTIN_GRID_ID1209 0.4281271 0.0046534 92.002 < 2e-16 ***
DESTIN_GRID_ID1232 -0.2236771 0.0045893 -48.739 < 2e-16 ***
DESTIN_GRID_ID1233 0.1633005 0.0047703 34.233 < 2e-16 ***
DESTIN_GRID_ID1235 -0.0660369 0.0046843 -14.098 < 2e-16 ***
DESTIN_GRID_ID1255 0.3782840 0.0070255 53.844 < 2e-16 ***
DESTIN_GRID_ID1258 0.6976707 0.0046345 150.537 < 2e-16 ***
DESTIN_GRID_ID1259 -1.0528039 0.0050102 -210.131 < 2e-16 ***
DESTIN_GRID_ID1261 -1.2534776 0.0049092 -255.333 < 2e-16 ***
DESTIN_GRID_ID1262 -0.5183322 0.0047543 -109.024 < 2e-16 ***
DESTIN_GRID_ID1283 -0.8828822 0.0050313 -175.477 < 2e-16 ***
DESTIN_GRID_ID1284 -1.2079761 0.0062578 -193.036 < 2e-16 ***
DESTIN_GRID_ID1286 -1.7567254 0.0061821 -284.162 < 2e-16 ***
DESTIN_GRID_ID1289 -0.1561723 0.0045910 -34.017 < 2e-16 ***
DESTIN_GRID_ID1309 0.7419761 0.0047173 157.288 < 2e-16 ***
DESTIN_GRID_ID1310 1.4503139 0.0044839 323.447 < 2e-16 ***
DESTIN_GRID_ID1315 0.6725445 0.0045369 148.239 < 2e-16 ***
DESTIN_GRID_ID1316 -1.7723623 0.0056715 -312.502 < 2e-16 ***
DESTIN_GRID_ID1337 -0.6735359 0.0047466 -141.898 < 2e-16 ***
DESTIN_GRID_ID1338 -1.2743110 0.0072052 -176.861 < 2e-16 ***
DESTIN_GRID_ID1343 -1.6111474 0.0051761 -311.269 < 2e-16 ***
DESTIN_GRID_ID1363 0.4886895 0.0048672 100.404 < 2e-16 ***
DESTIN_GRID_ID1364 -1.0111984 0.0051830 -195.098 < 2e-16 ***
DESTIN_GRID_ID1366 -0.4122033 0.0050431 -81.736 < 2e-16 ***
DESTIN_GRID_ID1369 -0.4335663 0.0048032 -90.266 < 2e-16 ***
DESTIN_GRID_ID1370 -0.3950713 0.0049284 -80.161 < 2e-16 ***
DESTIN_GRID_ID1374 -1.3224679 0.0054686 -241.830 < 2e-16 ***
DESTIN_GRID_ID1375 -1.2435537 0.0071576 -173.739 < 2e-16 ***
DESTIN_GRID_ID1391 -0.6388905 0.0057982 -110.188 < 2e-16 ***
DESTIN_GRID_ID1392 -1.5897483 0.0077727 -204.530 < 2e-16 ***
DESTIN_GRID_ID1396 -2.1931821 0.0093291 -235.090 < 2e-16 ***
DESTIN_GRID_ID1397 -1.1907254 0.0050600 -235.323 < 2e-16 ***
DESTIN_GRID_ID1401 0.9230199 0.0047719 193.429 < 2e-16 ***
DESTIN_GRID_ID1402 -0.3510245 0.0049049 -71.567 < 2e-16 ***
DESTIN_GRID_ID1423 -0.9092900 0.0060248 -150.923 < 2e-16 ***
DESTIN_GRID_ID1428 -1.0097336 0.0051675 -195.400 < 2e-16 ***
DESTIN_GRID_ID1429 -0.6552511 0.0052869 -123.939 < 2e-16 ***
DESTIN_GRID_ID1455 -0.9336179 0.0052206 -178.835 < 2e-16 ***
DESTIN_GRID_ID1456 -1.2052699 0.0051050 -236.098 < 2e-16 ***
DESTIN_GRID_ID1471 0.0839861 0.0051595 16.278 < 2e-16 ***
DESTIN_GRID_ID1482 0.4415548 0.0047415 93.125 < 2e-16 ***
DESTIN_GRID_ID1499 -0.9453817 0.0063606 -148.630 < 2e-16 ***
DESTIN_GRID_ID1509 -1.4003651 0.0064652 -216.599 < 2e-16 ***
DESTIN_GRID_ID1510 1.5437071 0.0046573 331.460 < 2e-16 ***
DESTIN_GRID_ID1525 0.6879113 0.0046849 146.836 < 2e-16 ***
DESTIN_GRID_ID1536 -0.0849519 0.0047724 -17.801 < 2e-16 ***
DESTIN_GRID_ID1537 -0.5377033 0.0051984 -103.436 < 2e-16 ***
DESTIN_GRID_ID1552 -2.0491819 0.0103726 -197.557 < 2e-16 ***
DESTIN_GRID_ID1553 -0.7478107 0.0053444 -139.925 < 2e-16 ***
DESTIN_GRID_ID1563 -0.0386832 0.0050411 -7.674 1.67e-14 ***
DESTIN_GRID_ID1564 -0.5197407 0.0047717 -108.921 < 2e-16 ***
DESTIN_GRID_ID1578 -1.5154532 0.0076242 -198.768 < 2e-16 ***
DESTIN_GRID_ID1579 0.8466327 0.0047706 177.468 < 2e-16 ***
DESTIN_GRID_ID1590 -0.3791731 0.0048852 -77.616 < 2e-16 ***
DESTIN_GRID_ID1591 -0.2188094 0.0048726 -44.906 < 2e-16 ***
DESTIN_GRID_ID1605 0.1981740 0.0049236 40.250 < 2e-16 ***
DESTIN_GRID_ID1606 -0.0992365 0.0049641 -19.991 < 2e-16 ***
DESTIN_GRID_ID1617 -1.3948054 0.0078930 -176.713 < 2e-16 ***
DESTIN_GRID_ID1618 1.2385581 0.0046698 265.225 < 2e-16 ***
DESTIN_GRID_ID1631 -0.2302454 0.0053202 -43.277 < 2e-16 ***
DESTIN_GRID_ID1632 -0.0930232 0.0050259 -18.509 < 2e-16 ***
DESTIN_GRID_ID1634 -0.0214672 0.0060956 -3.522 0.000429 ***
DESTIN_GRID_ID1644 -0.3319513 0.0050311 -65.980 < 2e-16 ***
DESTIN_GRID_ID1645 0.0200400 0.0048357 4.144 3.41e-05 ***
DESTIN_GRID_ID1658 -0.4441275 0.0054844 -80.979 < 2e-16 ***
DESTIN_GRID_ID1659 0.4429479 0.0047152 93.941 < 2e-16 ***
DESTIN_GRID_ID1672 -0.6446785 0.0056591 -113.919 < 2e-16 ***
DESTIN_GRID_ID1684 0.3408414 0.0049423 68.964 < 2e-16 ***
DESTIN_GRID_ID1685 0.0269252 0.0054829 4.911 9.07e-07 ***
DESTIN_GRID_ID1686 0.0710187 0.0049376 14.383 < 2e-16 ***
DESTIN_GRID_ID1688 -0.6038053 0.0073495 -82.156 < 2e-16 ***
DESTIN_GRID_ID1699 -0.4380429 0.0049069 -89.271 < 2e-16 ***
DESTIN_GRID_ID1700 -0.9087502 0.0074319 -122.277 < 2e-16 ***
DESTIN_GRID_ID1712 -1.1245828 0.0058788 -191.295 < 2e-16 ***
DESTIN_GRID_ID1713 0.8269550 0.0046421 178.143 < 2e-16 ***
DESTIN_GRID_ID1727 0.0256238 0.0048697 5.262 1.43e-07 ***
DESTIN_GRID_ID1739 0.8702778 0.0046081 188.860 < 2e-16 ***
DESTIN_GRID_ID1753 1.0393273 0.0046832 221.926 < 2e-16 ***
DESTIN_GRID_ID1754 -0.6132714 0.0051817 -118.352 < 2e-16 ***
DESTIN_GRID_ID1766 0.3906897 0.0047356 82.501 < 2e-16 ***
DESTIN_GRID_ID1767 0.2590744 0.0046854 55.294 < 2e-16 ***
DESTIN_GRID_ID1780 -0.7437489 0.0109600 -67.860 < 2e-16 ***
DESTIN_GRID_ID1781 -0.6749109 0.0050261 -134.282 < 2e-16 ***
DESTIN_GRID_ID1792 -0.6416914 0.0052725 -121.705 < 2e-16 ***
DESTIN_GRID_ID1793 0.4772098 0.0046617 102.367 < 2e-16 ***
DESTIN_GRID_ID1794 -0.4810283 0.0055449 -86.751 < 2e-16 ***
DESTIN_GRID_ID1807 -1.7807697 0.0055631 -320.101 < 2e-16 ***
DESTIN_GRID_ID1820 -0.2611087 0.0050957 -51.241 < 2e-16 ***
DESTIN_GRID_ID1821 1.4569495 0.0046014 316.633 < 2e-16 ***
DESTIN_GRID_ID1833 0.1888601 0.0047049 40.142 < 2e-16 ***
DESTIN_GRID_ID1835 -1.3866546 0.0057166 -242.567 < 2e-16 ***
DESTIN_GRID_ID1847 -1.6970031 0.0101958 -166.442 < 2e-16 ***
DESTIN_GRID_ID1854 -0.6101389 0.0055786 -109.372 < 2e-16 ***
DESTIN_GRID_ID1859 -1.2346833 0.0048945 -252.259 < 2e-16 ***
DESTIN_GRID_ID1860 -0.9599236 0.0049357 -194.485 < 2e-16 ***
DESTIN_GRID_ID1861 -1.0004004 0.0056169 -178.104 < 2e-16 ***
DESTIN_GRID_ID1874 0.1344488 0.0048960 27.461 < 2e-16 ***
DESTIN_GRID_ID1875 0.3885619 0.0046924 82.806 < 2e-16 ***
DESTIN_GRID_ID1882 0.1719441 0.0047633 36.098 < 2e-16 ***
DESTIN_GRID_ID1883 -1.2151781 0.0057315 -212.019 < 2e-16 ***
DESTIN_GRID_ID1886 1.2617086 0.0046466 271.532 < 2e-16 ***
DESTIN_GRID_ID1887 1.1214607 0.0046425 241.565 < 2e-16 ***
DESTIN_GRID_ID1888 -1.1466732 0.0055977 -204.846 < 2e-16 ***
DESTIN_GRID_ID1905 -0.9464612 0.0058131 -162.816 < 2e-16 ***
DESTIN_GRID_ID1907 -0.0488866 0.0049985 -9.780 < 2e-16 ***
DESTIN_GRID_ID1908 -0.9346275 0.0053995 -173.096 < 2e-16 ***
DESTIN_GRID_ID1909 -0.6272505 0.0049941 -125.598 < 2e-16 ***
DESTIN_GRID_ID1912 -4.1136344 0.0214419 -191.851 < 2e-16 ***
DESTIN_GRID_ID1913 -0.9907943 0.0048719 -203.368 < 2e-16 ***
DESTIN_GRID_ID1914 -0.4058389 0.0047943 -84.650 < 2e-16 ***
DESTIN_GRID_ID1928 -0.0293996 0.0052069 -5.646 1.64e-08 ***
DESTIN_GRID_ID1929 0.0468685 0.0052624 8.906 < 2e-16 ***
DESTIN_GRID_ID1933 0.4083978 0.0047662 85.687 < 2e-16 ***
DESTIN_GRID_ID1935 -0.2038334 0.0049700 -41.013 < 2e-16 ***
DESTIN_GRID_ID1936 -0.6005226 0.0049483 -121.359 < 2e-16 ***
DESTIN_GRID_ID1937 -0.4829339 0.0049779 -97.016 < 2e-16 ***
DESTIN_GRID_ID1940 -1.0582161 0.0049831 -212.361 < 2e-16 ***
DESTIN_GRID_ID1941 -2.2463990 0.0055040 -408.140 < 2e-16 ***
DESTIN_GRID_ID1942 -1.1030514 0.0063609 -173.411 < 2e-16 ***
DESTIN_GRID_ID1955 1.1606670 0.0047155 246.138 < 2e-16 ***
DESTIN_GRID_ID1959 0.3098983 0.0047566 65.151 < 2e-16 ***
DESTIN_GRID_ID1960 0.4870625 0.0046846 103.971 < 2e-16 ***
DESTIN_GRID_ID1962 -0.8760734 0.0050396 -173.839 < 2e-16 ***
DESTIN_GRID_ID1963 -1.0697557 0.0049649 -215.463 < 2e-16 ***
DESTIN_GRID_ID1967 -0.7845006 0.0048893 -160.452 < 2e-16 ***
DESTIN_GRID_ID1968 -0.9202556 0.0050918 -180.735 < 2e-16 ***
DESTIN_GRID_ID1985 0.2486742 0.0050459 49.282 < 2e-16 ***
DESTIN_GRID_ID1987 1.0359625 0.0045892 225.740 < 2e-16 ***
DESTIN_GRID_ID1988 -0.8969305 0.0051196 -175.196 < 2e-16 ***
DESTIN_GRID_ID1989 -1.1466382 0.0053461 -214.481 < 2e-16 ***
DESTIN_GRID_ID1990 1.5164341 0.0045752 331.445 < 2e-16 ***
DESTIN_GRID_ID1994 -3.4364132 0.0132377 -259.593 < 2e-16 ***
DESTIN_GRID_ID1995 -1.5186548 0.0051596 -294.335 < 2e-16 ***
DESTIN_GRID_ID2010 0.6093918 0.0046518 131.002 < 2e-16 ***
DESTIN_GRID_ID2011 0.5794824 0.0047660 121.588 < 2e-16 ***
DESTIN_GRID_ID2012 -0.7308218 0.0054020 -135.288 < 2e-16 ***
DESTIN_GRID_ID2013 -0.6230363 0.0048022 -129.741 < 2e-16 ***
DESTIN_GRID_ID2014 -0.4573344 0.0047669 -95.940 < 2e-16 ***
DESTIN_GRID_ID2015 0.2353482 0.0050299 46.790 < 2e-16 ***
DESTIN_GRID_ID2016 -0.6477758 0.0048718 -132.965 < 2e-16 ***
DESTIN_GRID_ID2017 -0.7050569 0.0048634 -144.972 < 2e-16 ***
DESTIN_GRID_ID2021 -2.9281585 0.0078343 -373.762 < 2e-16 ***
DESTIN_GRID_ID2038 1.1628168 0.0045990 252.839 < 2e-16 ***
DESTIN_GRID_ID2039 -0.4087936 0.0053534 -76.362 < 2e-16 ***
DESTIN_GRID_ID2040 -0.2310502 0.0049394 -46.777 < 2e-16 ***
DESTIN_GRID_ID2041 0.3422292 0.0047177 72.542 < 2e-16 ***
DESTIN_GRID_ID2042 -0.2895773 0.0053426 -54.201 < 2e-16 ***
DESTIN_GRID_ID2043 -0.0906411 0.0049641 -18.259 < 2e-16 ***
DESTIN_GRID_ID2044 -0.4740757 0.0047599 -99.598 < 2e-16 ***
DESTIN_GRID_ID2064 0.3354812 0.0049794 67.373 < 2e-16 ***
DESTIN_GRID_ID2065 -0.0117657 0.0049764 -2.364 0.018063 *
DESTIN_GRID_ID2066 -0.2189721 0.0047616 -45.987 < 2e-16 ***
DESTIN_GRID_ID2067 -0.8834517 0.0052929 -166.911 < 2e-16 ***
DESTIN_GRID_ID2068 -0.6727622 0.0050582 -133.003 < 2e-16 ***
DESTIN_GRID_ID2070 -0.1796469 0.0050327 -35.696 < 2e-16 ***
DESTIN_GRID_ID2071 -0.1511985 0.0048678 -31.061 < 2e-16 ***
DESTIN_GRID_ID2093 0.3554040 0.0046938 75.718 < 2e-16 ***
DESTIN_GRID_ID2094 0.0161963 0.0047949 3.378 0.000731 ***
DESTIN_GRID_ID2095 -0.4603336 0.0052794 -87.194 < 2e-16 ***
DESTIN_GRID_ID2098 -0.5164101 0.0051374 -100.520 < 2e-16 ***
DESTIN_GRID_ID2119 0.0408520 0.0049664 8.226 < 2e-16 ***
DESTIN_GRID_ID2120 0.6229453 0.0047374 131.496 < 2e-16 ***
DESTIN_GRID_ID2123 -1.2434369 0.0054246 -229.223 < 2e-16 ***
DESTIN_GRID_ID2147 0.2654927 0.0047495 55.898 < 2e-16 ***
DESTIN_GRID_ID2148 0.0986195 0.0047861 20.606 < 2e-16 ***
DESTIN_GRID_ID2149 0.3192016 0.0048721 65.516 < 2e-16 ***
DESTIN_GRID_ID2150 -1.8508006 0.0073523 -251.732 < 2e-16 ***
DESTIN_GRID_ID2151 -2.2085603 0.0067416 -327.602 < 2e-16 ***
DESTIN_GRID_ID2152 0.1218096 0.0047311 25.747 < 2e-16 ***
DESTIN_GRID_ID2154 -2.1746261 0.0063668 -341.558 < 2e-16 ***
DESTIN_GRID_ID2174 -1.5958357 0.0064728 -246.543 < 2e-16 ***
DESTIN_GRID_ID2177 1.7451425 0.0045625 382.499 < 2e-16 ***
DESTIN_GRID_ID2178 -1.6935187 0.0051449 -329.164 < 2e-16 ***
DESTIN_GRID_ID2179 -0.5104683 0.0047885 -106.603 < 2e-16 ***
DESTIN_GRID_ID2180 -1.4204037 0.0056587 -251.014 < 2e-16 ***
DESTIN_GRID_ID2201 -0.0771968 0.0049136 -15.711 < 2e-16 ***
DESTIN_GRID_ID2203 -0.1211412 0.0055884 -21.677 < 2e-16 ***
DESTIN_GRID_ID2204 -0.2062654 0.0049414 -41.742 < 2e-16 ***
DESTIN_GRID_ID2205 -1.1609010 0.0049182 -236.040 < 2e-16 ***
DESTIN_GRID_ID2206 -0.2239748 0.0046764 -47.895 < 2e-16 ***
DESTIN_GRID_ID2208 -1.0669830 0.0050711 -210.404 < 2e-16 ***
DESTIN_GRID_ID2228 -0.4848175 0.0050602 -95.811 < 2e-16 ***
DESTIN_GRID_ID2231 -0.6842577 0.0048987 -139.683 < 2e-16 ***
DESTIN_GRID_ID2233 -0.3601573 0.0046626 -77.245 < 2e-16 ***
DESTIN_GRID_ID2234 -6.7699994 0.0914050 -74.066 < 2e-16 ***
DESTIN_GRID_ID2235 -3.6543254 0.0316189 -115.574 < 2e-16 ***
DESTIN_GRID_ID2254 -0.2630740 0.0072550 -36.261 < 2e-16 ***
DESTIN_GRID_ID2255 -0.6986636 0.0059086 -118.246 < 2e-16 ***
DESTIN_GRID_ID2256 -0.3150151 0.0050148 -62.817 < 2e-16 ***
DESTIN_GRID_ID2257 -0.7764905 0.0088414 -87.824 < 2e-16 ***
DESTIN_GRID_ID2259 -1.4601599 0.0061323 -238.110 < 2e-16 ***
DESTIN_GRID_ID2260 -1.3031982 0.0048693 -267.636 < 2e-16 ***
DESTIN_GRID_ID2261 -1.1573761 0.0048699 -237.657 < 2e-16 ***
DESTIN_GRID_ID2262 -2.3272902 0.0065242 -356.717 < 2e-16 ***
DESTIN_GRID_ID2281 -0.5246140 0.0058733 -89.322 < 2e-16 ***
DESTIN_GRID_ID2282 0.7694415 0.0047143 163.213 < 2e-16 ***
DESTIN_GRID_ID2283 -0.4499669 0.0050680 -88.786 < 2e-16 ***
DESTIN_GRID_ID2285 -0.0605570 0.0048461 -12.496 < 2e-16 ***
DESTIN_GRID_ID2286 -1.0925783 0.0051112 -213.760 < 2e-16 ***
DESTIN_GRID_ID2287 -0.3405048 0.0046237 -73.643 < 2e-16 ***
DESTIN_GRID_ID2288 -2.8580538 0.0080824 -353.615 < 2e-16 ***
DESTIN_GRID_ID2310 -0.0149109 0.0048306 -3.087 0.002023 **
DESTIN_GRID_ID2312 -1.4071916 0.0066516 -211.558 < 2e-16 ***
DESTIN_GRID_ID2313 0.5898960 0.0046241 127.570 < 2e-16 ***
DESTIN_GRID_ID2314 0.5984642 0.0045728 130.876 < 2e-16 ***
DESTIN_GRID_ID2315 -1.4029063 0.0050501 -277.797 < 2e-16 ***
DESTIN_GRID_ID2316 -0.7437539 0.0047657 -156.065 < 2e-16 ***
DESTIN_GRID_ID2335 -1.8037341 0.0142388 -126.677 < 2e-16 ***
DESTIN_GRID_ID2339 -0.3409666 0.0050155 -67.983 < 2e-16 ***
DESTIN_GRID_ID2340 -0.6530266 0.0047143 -138.521 < 2e-16 ***
DESTIN_GRID_ID2341 -0.4762468 0.0046427 -102.580 < 2e-16 ***
DESTIN_GRID_ID2342 -1.7669356 0.0049396 -357.707 < 2e-16 ***
DESTIN_GRID_ID2343 -1.9749135 0.0057755 -341.949 < 2e-16 ***
DESTIN_GRID_ID2363 -0.8245232 0.0057808 -142.632 < 2e-16 ***
DESTIN_GRID_ID2367 -0.6724198 0.0053520 -125.640 < 2e-16 ***
DESTIN_GRID_ID2368 -0.9142324 0.0048653 -187.909 < 2e-16 ***
DESTIN_GRID_ID2369 -0.0873500 0.0046743 -18.687 < 2e-16 ***
DESTIN_GRID_ID2370 0.6712261 0.0045889 146.272 < 2e-16 ***
DESTIN_GRID_ID2371 -1.1654716 0.0050836 -229.263 < 2e-16 ***
DESTIN_GRID_ID2390 0.7529140 0.0047061 159.987 < 2e-16 ***
DESTIN_GRID_ID2391 0.3709119 0.0047854 77.509 < 2e-16 ***
DESTIN_GRID_ID2394 -2.2788310 0.0073299 -310.894 < 2e-16 ***
DESTIN_GRID_ID2395 -0.8492635 0.0048119 -176.491 < 2e-16 ***
DESTIN_GRID_ID2396 -0.9481859 0.0047091 -201.353 < 2e-16 ***
DESTIN_GRID_ID2397 -2.5417252 0.0070567 -360.187 < 2e-16 ***
DESTIN_GRID_ID2398 -1.7913026 0.0058240 -307.575 < 2e-16 ***
DESTIN_GRID_ID2418 -0.2195260 0.0051601 -42.543 < 2e-16 ***
DESTIN_GRID_ID2419 0.3976763 0.0049105 80.985 < 2e-16 ***
DESTIN_GRID_ID2422 -1.9538068 0.0100967 -193.509 < 2e-16 ***
DESTIN_GRID_ID2423 -1.9402225 0.0055339 -350.605 < 2e-16 ***
DESTIN_GRID_ID2424 -0.5548246 0.0047029 -117.976 < 2e-16 ***
DESTIN_GRID_ID2425 0.7485421 0.0046374 161.414 < 2e-16 ***
DESTIN_GRID_ID2426 -0.9674374 0.0062861 -153.901 < 2e-16 ***
DESTIN_GRID_ID2443 0.8071604 0.0047640 169.429 < 2e-16 ***
DESTIN_GRID_ID2445 0.2263214 0.0047915 47.234 < 2e-16 ***
DESTIN_GRID_ID2449 -2.0577031 0.0074837 -274.957 < 2e-16 ***
DESTIN_GRID_ID2450 -1.6773878 0.0050996 -328.926 < 2e-16 ***
DESTIN_GRID_ID2451 -0.2573648 0.0046617 -55.208 < 2e-16 ***
DESTIN_GRID_ID2472 -2.2801445 0.0167678 -135.984 < 2e-16 ***
DESTIN_GRID_ID2473 0.2335433 0.0049313 47.360 < 2e-16 ***
DESTIN_GRID_ID2478 -1.5072930 0.0051208 -294.348 < 2e-16 ***
DESTIN_GRID_ID2479 -2.3028657 0.0088907 -259.020 < 2e-16 ***
DESTIN_GRID_ID2497 -0.2663018 0.0050397 -52.841 < 2e-16 ***
DESTIN_GRID_ID2499 -0.8890810 0.0058019 -153.240 < 2e-16 ***
DESTIN_GRID_ID2505 -1.3480014 0.0053153 -253.609 < 2e-16 ***
DESTIN_GRID_ID2527 0.6177898 0.0047186 130.926 < 2e-16 ***
DESTIN_GRID_ID2532 -1.9998102 0.0061208 -326.726 < 2e-16 ***
DESTIN_GRID_ID2533 -1.7952434 0.0078494 -228.712 < 2e-16 ***
DESTIN_GRID_ID2551 -0.2278808 0.0056551 -40.297 < 2e-16 ***
DESTIN_GRID_ID2553 -1.2030442 0.0071382 -168.537 < 2e-16 ***
DESTIN_GRID_ID2554 -1.8046064 0.0083553 -215.984 < 2e-16 ***
DESTIN_GRID_ID2559 -1.9163594 0.0072285 -265.110 < 2e-16 ***
DESTIN_GRID_ID2580 -0.2781583 0.0049352 -56.362 < 2e-16 ***
DESTIN_GRID_ID2581 -1.1813498 0.0066405 -177.899 < 2e-16 ***
DESTIN_GRID_ID2607 -0.7061521 0.0050071 -141.031 < 2e-16 ***
DESTIN_GRID_ID2608 -1.3336677 0.0069616 -191.575 < 2e-16 ***
DESTIN_GRID_ID2634 1.5823460 0.0046138 342.957 < 2e-16 ***
DESTIN_GRID_ID2635 -1.1151794 0.0056520 -197.307 < 2e-16 ***
DESTIN_GRID_ID2636 -0.0436951 0.0049959 -8.746 < 2e-16 ***
DESTIN_GRID_ID2661 -0.8105257 0.0049149 -164.912 < 2e-16 ***
DESTIN_GRID_ID2663 0.1243880 0.0047374 26.257 < 2e-16 ***
DESTIN_GRID_ID2665 0.1299624 0.0048231 26.946 < 2e-16 ***
DESTIN_GRID_ID2688 -0.6012795 0.0050566 -118.911 < 2e-16 ***
DESTIN_GRID_ID2689 0.3445226 0.0047568 72.428 < 2e-16 ***
DESTIN_GRID_ID2690 -0.1938592 0.0048178 -40.238 < 2e-16 ***
DESTIN_GRID_ID2691 -0.4264559 0.0048296 -88.300 < 2e-16 ***
DESTIN_GRID_ID2693 -0.1808260 0.0049380 -36.619 < 2e-16 ***
DESTIN_GRID_ID2715 -0.5474280 0.0052156 -104.960 < 2e-16 ***
DESTIN_GRID_ID2717 -0.4753838 0.0047398 -100.297 < 2e-16 ***
DESTIN_GRID_ID2718 -1.4866806 0.0058596 -253.715 < 2e-16 ***
DESTIN_GRID_ID2719 -0.3724660 0.0048040 -77.532 < 2e-16 ***
DESTIN_GRID_ID2742 -0.3570821 0.0050022 -71.385 < 2e-16 ***
DESTIN_GRID_ID2743 -0.2297445 0.0056964 -40.332 < 2e-16 ***
DESTIN_GRID_ID2744 0.3605674 0.0047270 76.279 < 2e-16 ***
DESTIN_GRID_ID2745 -0.0003896 0.0047420 -0.082 0.934522
DESTIN_GRID_ID2747 -1.1899152 0.0053881 -220.843 < 2e-16 ***
DESTIN_GRID_ID2768 -0.2610821 0.0050744 -51.451 < 2e-16 ***
DESTIN_GRID_ID2771 1.7626264 0.0046023 382.986 < 2e-16 ***
DESTIN_GRID_ID2773 -1.2440055 0.0051455 -241.765 < 2e-16 ***
DESTIN_GRID_ID2798 -1.4982628 0.0061944 -241.875 < 2e-16 ***
DESTIN_GRID_ID2799 -0.6565652 0.0049232 -133.362 < 2e-16 ***
DESTIN_GRID_ID2800 0.7058575 0.0046579 151.539 < 2e-16 ***
DESTIN_GRID_ID2824 0.8384298 0.0048098 174.318 < 2e-16 ***
DESTIN_GRID_ID2825 -0.2975293 0.0047697 -62.379 < 2e-16 ***
DESTIN_GRID_ID2826 -0.8060536 0.0054871 -146.901 < 2e-16 ***
DESTIN_GRID_ID2827 1.4026959 0.0046411 302.232 < 2e-16 ***
DESTIN_GRID_ID2852 -0.5495604 0.0054603 -100.647 < 2e-16 ***
DESTIN_GRID_ID2853 0.7627822 0.0046340 164.606 < 2e-16 ***
DESTIN_GRID_ID2854 -0.0839692 0.0048168 -17.433 < 2e-16 ***
DESTIN_GRID_ID2878 -0.5407361 0.0054175 -99.812 < 2e-16 ***
DESTIN_GRID_ID2879 -0.4304661 0.0049977 -86.133 < 2e-16 ***
DESTIN_GRID_ID2880 -1.1546351 0.0053480 -215.902 < 2e-16 ***
DESTIN_GRID_ID2881 -0.6354625 0.0051517 -123.351 < 2e-16 ***
DESTIN_GRID_ID2907 -1.1489801 0.0060094 -191.196 < 2e-16 ***
DESTIN_GRID_ID2908 -0.0723882 0.0048592 -14.897 < 2e-16 ***
DESTIN_GRID_ID2933 0.9100037 0.0051342 177.242 < 2e-16 ***
DESTIN_GRID_ID2934 -0.7678002 0.0052786 -145.456 < 2e-16 ***
DESTIN_GRID_ID3098 0.4194702 0.0054598 76.829 < 2e-16 ***
log(DISTANCE) -1.5303317 0.0001407 -10875.273 < 2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(Dispersion parameter for poisson family taken to be 1)
Null deviance: 535353461 on 101714 degrees of freedom
Residual deviance: 96048379 on 101019 degrees of freedom
AIC: 96807997
Number of Fisher Scoring iterations: 6CalcRSquared(dbcSIM_Poisson$data$TRIPS, dbcSIM_Poisson$fitted.values)[1] 0.7918198 Comparing Models
model_list <- list(originConstrained=orcSIM_Poisson,
destinationConstrained=decSIM_Poisson,
doublyConstrained=dbcSIM_Poisson)compare_performance(model_list,
metrics = "RMSE")# Comparison of Model Performance Indices
Name | Model | RMSE
-----------------------------------------
originConstrained | glm | 3162.491
destinationConstrained | glm | 3334.765
doublyConstrained | glm | 2365.462df <- as.data.frame(orcSIM_Poisson$fitted.values) %>%
round(digits = 0)inter_zonal_flow <- inter_zonal_flow %>%
cbind(df) %>%
rename(orcTRIPS = "orcSIM_Poisson$fitted.values")df2 <- as.data.frame(decSIM_Poisson$fitted.values) %>%
round(digits = 0)inter_zonal_flow <- inter_zonal_flow %>%
cbind(df2) %>%
rename(decTRIPS = "decSIM_Poisson$fitted.values")df3 <- as.data.frame(dbcSIM_Poisson$fitted.values) %>%
round(digits = 0)inter_zonal_flow <- inter_zonal_flow %>%
cbind(df3) %>%
rename(dbcTRIPS = "dbcSIM_Poisson$fitted.values")orc_p <- ggplot(data = inter_zonal_flow,
aes(x = orcTRIPS,
y = TRIPS)) +
geom_point() +
geom_smooth(method = lm) +
coord_cartesian(xlim=c(0,70000),
ylim=c(0,70000))
dec_p <- ggplot(data = inter_zonal_flow,
aes(x = decTRIPS,
y = TRIPS)) +
geom_point() +
geom_smooth(method = lm) +
coord_cartesian(xlim=c(0,70000),
ylim=c(0,70000))
dbc_p <- ggplot(data = inter_zonal_flow,
aes(x = dbcTRIPS,
y = TRIPS)) +
geom_point() +
geom_smooth(method = lm) +
coord_cartesian(xlim=c(0,70000),
ylim=c(0,70000))ggarrange(orc_p, dec_p,
dbc_p,
ncol = 2,
nrow = 2)
8.1 Further Calibration of the Models
8.1.1 Remove certain variables
orcSIM_Poisson2 <- glm(formula = TRIPS ~
ORIGIN_GRID_ID +
log(TDESTIN_BIZ_COUNT) +
log(TDESTIN_FINSERV_COUNT) +
log(TDESTIN_MRTEXIT_COUNT) +
log(TDESTIN_BUSSTOP_COUNT) +
log(TDESTIN_HDBCOMM_UNITS) +
log(TDESTIN_HDBRES_UNITS) +
log(TDESTIN_SCHOOLS_COUNT) +
log(DISTANCE) - 1,
family = poisson(link = "log"),
data = inter_zonal_flow,
na.action = na.exclude)
summary(orcSIM_Poisson2)
Call:
glm(formula = TRIPS ~ ORIGIN_GRID_ID + log(TDESTIN_BIZ_COUNT) +
log(TDESTIN_FINSERV_COUNT) + log(TDESTIN_MRTEXIT_COUNT) +
log(TDESTIN_BUSSTOP_COUNT) + log(TDESTIN_HDBCOMM_UNITS) +
log(TDESTIN_HDBRES_UNITS) + log(TDESTIN_SCHOOLS_COUNT) +
log(DISTANCE) - 1, family = poisson(link = "log"), data = inter_zonal_flow,
na.action = na.exclude)
Coefficients:
Estimate Std. Error z value Pr(>|z|)
ORIGIN_GRID_ID664 1.472e+01 2.324e-02 633.61 <2e-16 ***
ORIGIN_GRID_ID718 1.870e+01 1.667e-03 11219.33 <2e-16 ***
ORIGIN_GRID_ID745 1.640e+01 2.759e-03 5944.72 <2e-16 ***
ORIGIN_GRID_ID746 1.843e+01 1.724e-03 10686.52 <2e-16 ***
ORIGIN_GRID_ID772 1.809e+01 1.572e-03 11502.21 <2e-16 ***
ORIGIN_GRID_ID799 1.746e+01 2.442e-03 7150.90 <2e-16 ***
ORIGIN_GRID_ID800 1.861e+01 1.570e-03 11857.18 <2e-16 ***
ORIGIN_GRID_ID826 1.837e+01 1.570e-03 11695.12 <2e-16 ***
ORIGIN_GRID_ID827 1.837e+01 1.813e-03 10133.64 <2e-16 ***
ORIGIN_GRID_ID854 1.721e+01 2.259e-03 7618.77 <2e-16 ***
ORIGIN_GRID_ID880 1.661e+01 2.926e-03 5677.27 <2e-16 ***
ORIGIN_GRID_ID881 1.592e+01 6.075e-03 2619.64 <2e-16 ***
ORIGIN_GRID_ID908 1.813e+01 1.639e-03 11061.73 <2e-16 ***
ORIGIN_GRID_ID934 1.681e+01 2.385e-03 7049.05 <2e-16 ***
ORIGIN_GRID_ID935 1.757e+01 1.864e-03 9422.69 <2e-16 ***
ORIGIN_GRID_ID961 1.794e+01 1.851e-03 9692.50 <2e-16 ***
ORIGIN_GRID_ID962 1.818e+01 1.661e-03 10941.40 <2e-16 ***
ORIGIN_GRID_ID987 1.848e+01 1.659e-03 11144.12 <2e-16 ***
ORIGIN_GRID_ID988 1.695e+01 2.429e-03 6980.29 <2e-16 ***
ORIGIN_GRID_ID989 1.809e+01 1.629e-03 11107.39 <2e-16 ***
ORIGIN_GRID_ID1015 1.691e+01 3.046e-03 5551.10 <2e-16 ***
ORIGIN_GRID_ID1016 1.709e+01 2.031e-03 8413.17 <2e-16 ***
ORIGIN_GRID_ID1043 1.733e+01 2.804e-03 6179.67 <2e-16 ***
ORIGIN_GRID_ID1068 1.495e+01 1.914e-02 781.13 <2e-16 ***
ORIGIN_GRID_ID1070 1.757e+01 1.859e-03 9452.03 <2e-16 ***
ORIGIN_GRID_ID1096 1.710e+01 1.911e-03 8950.06 <2e-16 ***
ORIGIN_GRID_ID1097 1.692e+01 2.629e-03 6436.78 <2e-16 ***
ORIGIN_GRID_ID1099 1.840e+01 1.658e-03 11101.46 <2e-16 ***
ORIGIN_GRID_ID1122 1.806e+01 1.721e-03 10493.86 <2e-16 ***
ORIGIN_GRID_ID1123 1.775e+01 1.743e-03 10188.60 <2e-16 ***
ORIGIN_GRID_ID1124 1.712e+01 2.190e-03 7816.94 <2e-16 ***
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ORIGIN_GRID_ID2369 1.701e+01 2.120e-03 8025.78 <2e-16 ***
ORIGIN_GRID_ID2370 1.742e+01 1.705e-03 10222.71 <2e-16 ***
ORIGIN_GRID_ID2371 1.743e+01 1.813e-03 9613.68 <2e-16 ***
ORIGIN_GRID_ID2390 1.645e+01 2.764e-03 5953.05 <2e-16 ***
ORIGIN_GRID_ID2391 1.647e+01 2.540e-03 6484.85 <2e-16 ***
ORIGIN_GRID_ID2394 1.591e+01 4.468e-03 3561.03 <2e-16 ***
ORIGIN_GRID_ID2395 1.792e+01 1.708e-03 10494.70 <2e-16 ***
ORIGIN_GRID_ID2396 1.746e+01 1.634e-03 10687.32 <2e-16 ***
ORIGIN_GRID_ID2397 1.657e+01 2.444e-03 6777.67 <2e-16 ***
ORIGIN_GRID_ID2398 1.690e+01 2.466e-03 6850.86 <2e-16 ***
ORIGIN_GRID_ID2418 1.655e+01 3.092e-03 5354.10 <2e-16 ***
ORIGIN_GRID_ID2419 1.586e+01 4.074e-03 3893.49 <2e-16 ***
ORIGIN_GRID_ID2422 1.644e+01 6.286e-03 2615.05 <2e-16 ***
ORIGIN_GRID_ID2423 1.678e+01 2.554e-03 6569.90 <2e-16 ***
ORIGIN_GRID_ID2424 1.774e+01 1.583e-03 11201.63 <2e-16 ***
ORIGIN_GRID_ID2425 1.719e+01 1.842e-03 9335.95 <2e-16 ***
ORIGIN_GRID_ID2426 1.646e+01 3.723e-03 4420.65 <2e-16 ***
ORIGIN_GRID_ID2443 1.707e+01 2.220e-03 7688.07 <2e-16 ***
ORIGIN_GRID_ID2445 1.731e+01 1.841e-03 9400.58 <2e-16 ***
ORIGIN_GRID_ID2449 1.743e+01 3.077e-03 5665.32 <2e-16 ***
ORIGIN_GRID_ID2450 1.723e+01 1.997e-03 8626.69 <2e-16 ***
ORIGIN_GRID_ID2451 1.769e+01 1.659e-03 10659.93 <2e-16 ***
ORIGIN_GRID_ID2472 1.508e+01 1.801e-02 837.57 <2e-16 ***
ORIGIN_GRID_ID2473 1.709e+01 2.368e-03 7217.05 <2e-16 ***
ORIGIN_GRID_ID2478 1.681e+01 2.210e-03 7608.20 <2e-16 ***
ORIGIN_GRID_ID2479 1.553e+01 5.926e-03 2621.09 <2e-16 ***
ORIGIN_GRID_ID2497 1.737e+01 2.014e-03 8623.80 <2e-16 ***
ORIGIN_GRID_ID2499 1.758e+01 2.327e-03 7555.43 <2e-16 ***
ORIGIN_GRID_ID2505 1.695e+01 2.353e-03 7200.60 <2e-16 ***
ORIGIN_GRID_ID2527 1.744e+01 2.012e-03 8670.51 <2e-16 ***
ORIGIN_GRID_ID2532 1.700e+01 2.584e-03 6577.46 <2e-16 ***
ORIGIN_GRID_ID2533 1.724e+01 3.092e-03 5575.67 <2e-16 ***
ORIGIN_GRID_ID2551 1.681e+01 2.924e-03 5750.54 <2e-16 ***
ORIGIN_GRID_ID2553 1.693e+01 4.120e-03 4108.73 <2e-16 ***
ORIGIN_GRID_ID2554 1.560e+01 6.322e-03 2467.22 <2e-16 ***
ORIGIN_GRID_ID2559 1.699e+01 2.977e-03 5707.37 <2e-16 ***
ORIGIN_GRID_ID2580 1.747e+01 2.031e-03 8604.60 <2e-16 ***
ORIGIN_GRID_ID2581 1.670e+01 3.691e-03 4523.68 <2e-16 ***
ORIGIN_GRID_ID2607 1.803e+01 1.660e-03 10863.27 <2e-16 ***
ORIGIN_GRID_ID2608 1.637e+01 3.940e-03 4155.99 <2e-16 ***
ORIGIN_GRID_ID2634 1.785e+01 1.814e-03 9839.12 <2e-16 ***
ORIGIN_GRID_ID2635 1.795e+01 2.037e-03 8811.23 <2e-16 ***
ORIGIN_GRID_ID2636 1.739e+01 2.312e-03 7519.05 <2e-16 ***
ORIGIN_GRID_ID2661 1.738e+01 1.846e-03 9412.76 <2e-16 ***
ORIGIN_GRID_ID2663 1.800e+01 1.616e-03 11138.40 <2e-16 ***
ORIGIN_GRID_ID2665 1.708e+01 2.670e-03 6395.30 <2e-16 ***
ORIGIN_GRID_ID2688 1.743e+01 1.954e-03 8920.96 <2e-16 ***
ORIGIN_GRID_ID2689 1.744e+01 2.065e-03 8446.07 <2e-16 ***
ORIGIN_GRID_ID2690 1.645e+01 2.579e-03 6378.81 <2e-16 ***
ORIGIN_GRID_ID2691 1.813e+01 1.651e-03 10985.91 <2e-16 ***
ORIGIN_GRID_ID2693 1.779e+01 1.912e-03 9304.05 <2e-16 ***
ORIGIN_GRID_ID2715 1.793e+01 1.940e-03 9240.04 <2e-16 ***
ORIGIN_GRID_ID2717 1.671e+01 1.929e-03 8659.89 <2e-16 ***
ORIGIN_GRID_ID2718 1.721e+01 2.540e-03 6777.18 <2e-16 ***
ORIGIN_GRID_ID2719 1.806e+01 1.652e-03 10930.66 <2e-16 ***
ORIGIN_GRID_ID2742 1.722e+01 2.404e-03 7162.45 <2e-16 ***
ORIGIN_GRID_ID2743 1.619e+01 5.076e-03 3189.61 <2e-16 ***
ORIGIN_GRID_ID2744 1.700e+01 2.001e-03 8496.97 <2e-16 ***
ORIGIN_GRID_ID2745 1.694e+01 1.888e-03 8970.73 <2e-16 ***
ORIGIN_GRID_ID2747 1.699e+01 2.402e-03 7074.12 <2e-16 ***
ORIGIN_GRID_ID2768 1.756e+01 2.228e-03 7882.06 <2e-16 ***
ORIGIN_GRID_ID2771 1.770e+01 1.715e-03 10323.41 <2e-16 ***
ORIGIN_GRID_ID2773 1.731e+01 1.980e-03 8744.94 <2e-16 ***
ORIGIN_GRID_ID2798 1.644e+01 2.921e-03 5629.31 <2e-16 ***
ORIGIN_GRID_ID2799 1.718e+01 1.787e-03 9614.94 <2e-16 ***
ORIGIN_GRID_ID2800 1.727e+01 2.043e-03 8456.05 <2e-16 ***
ORIGIN_GRID_ID2824 1.646e+01 2.878e-03 5721.21 <2e-16 ***
ORIGIN_GRID_ID2825 1.724e+01 1.718e-03 10034.79 <2e-16 ***
ORIGIN_GRID_ID2826 1.736e+01 2.263e-03 7672.85 <2e-16 ***
ORIGIN_GRID_ID2827 1.759e+01 1.917e-03 9175.81 <2e-16 ***
ORIGIN_GRID_ID2852 1.746e+01 1.973e-03 8853.00 <2e-16 ***
ORIGIN_GRID_ID2853 1.744e+01 1.671e-03 10431.68 <2e-16 ***
ORIGIN_GRID_ID2854 1.795e+01 1.716e-03 10458.54 <2e-16 ***
ORIGIN_GRID_ID2878 1.684e+01 2.784e-03 6048.49 <2e-16 ***
ORIGIN_GRID_ID2879 1.717e+01 2.045e-03 8396.75 <2e-16 ***
ORIGIN_GRID_ID2880 1.718e+01 2.060e-03 8339.26 <2e-16 ***
ORIGIN_GRID_ID2881 1.845e+01 1.753e-03 10527.20 <2e-16 ***
ORIGIN_GRID_ID2907 1.722e+01 2.401e-03 7170.39 <2e-16 ***
ORIGIN_GRID_ID2908 1.767e+01 2.010e-03 8788.68 <2e-16 ***
ORIGIN_GRID_ID2933 1.535e+01 7.912e-03 1939.79 <2e-16 ***
ORIGIN_GRID_ID2934 1.693e+01 2.565e-03 6601.50 <2e-16 ***
ORIGIN_GRID_ID3098 1.668e+01 5.418e-03 3079.79 <2e-16 ***
log(TDESTIN_BIZ_COUNT) 3.192e-02 1.004e-04 317.76 <2e-16 ***
log(TDESTIN_FINSERV_COUNT) 2.525e-01 9.292e-05 2717.07 <2e-16 ***
log(TDESTIN_MRTEXIT_COUNT) 6.729e-01 1.470e-04 4577.84 <2e-16 ***
log(TDESTIN_BUSSTOP_COUNT) 8.802e-02 2.470e-04 356.29 <2e-16 ***
log(TDESTIN_HDBCOMM_UNITS) 3.431e-02 5.947e-05 577.04 <2e-16 ***
log(TDESTIN_HDBRES_UNITS) -9.273e-03 1.391e-04 -66.64 <2e-16 ***
log(TDESTIN_SCHOOLS_COUNT) 3.265e-01 2.260e-04 1444.87 <2e-16 ***
log(DISTANCE) -1.479e+00 1.267e-04 -11675.49 <2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(Dispersion parameter for poisson family taken to be 1)
Null deviance: 2954357158 on 101715 degrees of freedom
Residual deviance: 153161913 on 101359 degrees of freedom
AIC: 153920852
Number of Fisher Scoring iterations: 6CalcRSquared(orcSIM_Poisson2$data$TRIPS, orcSIM_Poisson2$fitted.values)[1] 0.6282076decSIM_Poisson2 <- glm(formula = TRIPS ~
DESTIN_GRID_ID +
log(TORIGIN_BIZ_COUNT) +
log(TORIGIN_FINSERV_COUNT) +
log(TORIGIN_MRTEXIT_COUNT) +
log(TORIGIN_BUSSTOP_COUNT) +
log(TORIGIN_HDBCOMM_UNITS) +
log(TORIGIN_HDBRES_UNITS) +
log(TORIGIN_SCHOOLS_COUNT) +
log(DISTANCE) - 1,
family = poisson(link = "log"),
data = inter_zonal_flow,
na.action = na.exclude)
summary(decSIM_Poisson2)
Call:
glm(formula = TRIPS ~ DESTIN_GRID_ID + log(TORIGIN_BIZ_COUNT) +
log(TORIGIN_FINSERV_COUNT) + log(TORIGIN_MRTEXIT_COUNT) +
log(TORIGIN_BUSSTOP_COUNT) + log(TORIGIN_HDBCOMM_UNITS) +
log(TORIGIN_HDBRES_UNITS) + log(TORIGIN_SCHOOLS_COUNT) +
log(DISTANCE) - 1, family = poisson(link = "log"), data = inter_zonal_flow,
na.action = na.exclude)
Coefficients:
Estimate Std. Error z value Pr(>|z|)
DESTIN_GRID_ID664 1.415e+01 4.595e-03 3079.664 < 2e-16 ***
DESTIN_GRID_ID718 1.397e+01 1.976e-03 7073.503 < 2e-16 ***
DESTIN_GRID_ID745 1.238e+01 3.086e-03 4011.556 < 2e-16 ***
DESTIN_GRID_ID746 1.324e+01 2.389e-03 5542.057 < 2e-16 ***
DESTIN_GRID_ID772 1.443e+01 1.631e-03 8848.587 < 2e-16 ***
DESTIN_GRID_ID799 1.450e+01 1.852e-03 7827.426 < 2e-16 ***
DESTIN_GRID_ID800 1.332e+01 1.958e-03 6801.942 < 2e-16 ***
DESTIN_GRID_ID826 1.553e+01 1.577e-03 9843.445 < 2e-16 ***
DESTIN_GRID_ID827 1.421e+01 2.153e-03 6599.806 < 2e-16 ***
DESTIN_GRID_ID854 1.301e+01 2.599e-03 5006.873 < 2e-16 ***
DESTIN_GRID_ID880 1.246e+01 3.594e-03 3467.119 < 2e-16 ***
DESTIN_GRID_ID881 1.303e+01 3.611e-03 3608.006 < 2e-16 ***
DESTIN_GRID_ID908 1.341e+01 2.126e-03 6306.975 < 2e-16 ***
DESTIN_GRID_ID934 1.377e+01 2.038e-03 6754.275 < 2e-16 ***
DESTIN_GRID_ID935 1.342e+01 2.286e-03 5872.370 < 2e-16 ***
DESTIN_GRID_ID961 1.331e+01 2.499e-03 5325.117 < 2e-16 ***
DESTIN_GRID_ID962 1.540e+01 1.574e-03 9783.981 < 2e-16 ***
DESTIN_GRID_ID987 1.438e+01 1.834e-03 7840.375 < 2e-16 ***
DESTIN_GRID_ID988 1.244e+01 3.427e-03 3631.070 < 2e-16 ***
DESTIN_GRID_ID989 1.358e+01 2.131e-03 6374.454 < 2e-16 ***
DESTIN_GRID_ID1015 1.113e+01 8.499e-03 1309.385 < 2e-16 ***
DESTIN_GRID_ID1016 1.273e+01 2.659e-03 4786.434 < 2e-16 ***
DESTIN_GRID_ID1043 1.336e+01 3.087e-03 4328.780 < 2e-16 ***
DESTIN_GRID_ID1068 1.142e+01 2.065e-02 552.876 < 2e-16 ***
DESTIN_GRID_ID1070 1.365e+01 1.999e-03 6829.933 < 2e-16 ***
DESTIN_GRID_ID1096 1.323e+01 2.160e-03 6126.971 < 2e-16 ***
DESTIN_GRID_ID1097 1.285e+01 2.999e-03 4285.910 < 2e-16 ***
DESTIN_GRID_ID1099 1.353e+01 2.147e-03 6301.307 < 2e-16 ***
DESTIN_GRID_ID1122 1.397e+01 2.472e-03 5654.110 < 2e-16 ***
DESTIN_GRID_ID1123 1.497e+01 1.620e-03 9237.127 < 2e-16 ***
DESTIN_GRID_ID1124 1.352e+01 2.146e-03 6300.176 < 2e-16 ***
DESTIN_GRID_ID1125 1.284e+01 2.976e-03 4315.525 < 2e-16 ***
DESTIN_GRID_ID1127 1.306e+01 2.347e-03 5562.753 < 2e-16 ***
DESTIN_GRID_ID1128 1.374e+01 2.744e-03 5006.166 < 2e-16 ***
DESTIN_GRID_ID1148 1.314e+01 3.192e-03 4117.187 < 2e-16 ***
DESTIN_GRID_ID1150 1.358e+01 2.049e-03 6628.052 < 2e-16 ***
DESTIN_GRID_ID1151 1.303e+01 2.359e-03 5523.202 < 2e-16 ***
DESTIN_GRID_ID1152 1.274e+01 3.522e-03 3618.526 < 2e-16 ***
DESTIN_GRID_ID1153 1.345e+01 2.219e-03 6061.444 < 2e-16 ***
DESTIN_GRID_ID1154 1.511e+01 1.645e-03 9182.898 < 2e-16 ***
DESTIN_GRID_ID1155 1.046e+01 1.727e-02 605.417 < 2e-16 ***
DESTIN_GRID_ID1176 1.406e+01 2.035e-03 6908.715 < 2e-16 ***
DESTIN_GRID_ID1178 1.296e+01 2.270e-03 5706.684 < 2e-16 ***
DESTIN_GRID_ID1179 1.221e+01 3.325e-03 3670.995 < 2e-16 ***
DESTIN_GRID_ID1180 1.067e+01 1.021e-02 1045.274 < 2e-16 ***
DESTIN_GRID_ID1181 1.379e+01 1.862e-03 7406.457 < 2e-16 ***
DESTIN_GRID_ID1182 1.331e+01 2.358e-03 5642.817 < 2e-16 ***
DESTIN_GRID_ID1183 1.319e+01 5.061e-03 2606.611 < 2e-16 ***
DESTIN_GRID_ID1205 1.458e+01 1.656e-03 8805.621 < 2e-16 ***
DESTIN_GRID_ID1206 1.340e+01 2.356e-03 5685.507 < 2e-16 ***
DESTIN_GRID_ID1207 1.321e+01 2.539e-03 5202.687 < 2e-16 ***
DESTIN_GRID_ID1209 1.486e+01 1.786e-03 8321.648 < 2e-16 ***
DESTIN_GRID_ID1232 1.381e+01 1.926e-03 7168.724 < 2e-16 ***
DESTIN_GRID_ID1233 1.441e+01 2.242e-03 6429.487 < 2e-16 ***
DESTIN_GRID_ID1235 1.416e+01 2.000e-03 7079.689 < 2e-16 ***
DESTIN_GRID_ID1255 1.420e+01 5.671e-03 2504.065 < 2e-16 ***
DESTIN_GRID_ID1258 1.452e+01 2.027e-03 7165.257 < 2e-16 ***
DESTIN_GRID_ID1259 1.304e+01 2.757e-03 4731.521 < 2e-16 ***
DESTIN_GRID_ID1261 1.293e+01 2.536e-03 5097.904 < 2e-16 ***
DESTIN_GRID_ID1262 1.341e+01 2.190e-03 6124.060 < 2e-16 ***
DESTIN_GRID_ID1283 1.316e+01 2.789e-03 4720.115 < 2e-16 ***
DESTIN_GRID_ID1284 1.275e+01 4.688e-03 2719.754 < 2e-16 ***
DESTIN_GRID_ID1286 1.213e+01 4.575e-03 2651.116 < 2e-16 ***
DESTIN_GRID_ID1289 1.389e+01 1.781e-03 7794.942 < 2e-16 ***
DESTIN_GRID_ID1309 1.433e+01 2.171e-03 6602.358 < 2e-16 ***
DESTIN_GRID_ID1310 1.502e+01 1.635e-03 9182.929 < 2e-16 ***
DESTIN_GRID_ID1315 1.464e+01 1.674e-03 8743.737 < 2e-16 ***
DESTIN_GRID_ID1316 1.239e+01 3.722e-03 3327.739 < 2e-16 ***
DESTIN_GRID_ID1337 1.332e+01 2.184e-03 6097.155 < 2e-16 ***
DESTIN_GRID_ID1338 1.256e+01 5.832e-03 2154.091 < 2e-16 ***
DESTIN_GRID_ID1343 1.241e+01 2.944e-03 4217.494 < 2e-16 ***
DESTIN_GRID_ID1363 1.410e+01 2.495e-03 5650.164 < 2e-16 ***
DESTIN_GRID_ID1364 1.287e+01 3.011e-03 4274.374 < 2e-16 ***
DESTIN_GRID_ID1366 1.331e+01 2.886e-03 4612.093 < 2e-16 ***
DESTIN_GRID_ID1369 1.349e+01 2.197e-03 6140.051 < 2e-16 ***
DESTIN_GRID_ID1370 1.332e+01 2.426e-03 5489.270 < 2e-16 ***
DESTIN_GRID_ID1374 1.270e+01 3.242e-03 3915.867 < 2e-16 ***
DESTIN_GRID_ID1375 1.308e+01 5.624e-03 2325.202 < 2e-16 ***
DESTIN_GRID_ID1391 1.296e+01 4.009e-03 3233.540 < 2e-16 ***
DESTIN_GRID_ID1392 1.185e+01 6.545e-03 1810.072 < 2e-16 ***
DESTIN_GRID_ID1396 1.176e+01 8.298e-03 1417.217 < 2e-16 ***
DESTIN_GRID_ID1397 1.294e+01 2.669e-03 4849.509 < 2e-16 ***
DESTIN_GRID_ID1401 1.453e+01 1.865e-03 7789.590 < 2e-16 ***
DESTIN_GRID_ID1402 1.359e+01 2.154e-03 6310.255 < 2e-16 ***
DESTIN_GRID_ID1423 1.305e+01 4.293e-03 3038.636 < 2e-16 ***
DESTIN_GRID_ID1428 1.300e+01 2.708e-03 4801.931 < 2e-16 ***
DESTIN_GRID_ID1429 1.364e+01 2.894e-03 4712.270 < 2e-16 ***
DESTIN_GRID_ID1455 1.287e+01 2.758e-03 4667.419 < 2e-16 ***
DESTIN_GRID_ID1456 1.312e+01 2.552e-03 5140.389 < 2e-16 ***
DESTIN_GRID_ID1471 1.357e+01 2.980e-03 4552.754 < 2e-16 ***
DESTIN_GRID_ID1482 1.449e+01 1.783e-03 8126.238 < 2e-16 ***
DESTIN_GRID_ID1499 1.274e+01 4.673e-03 2725.822 < 2e-16 ***
DESTIN_GRID_ID1509 1.238e+01 4.745e-03 2608.260 < 2e-16 ***
DESTIN_GRID_ID1510 1.529e+01 1.601e-03 9551.437 < 2e-16 ***
DESTIN_GRID_ID1525 1.407e+01 1.904e-03 7389.916 < 2e-16 ***
DESTIN_GRID_ID1536 1.384e+01 1.854e-03 7467.006 < 2e-16 ***
DESTIN_GRID_ID1537 1.394e+01 2.738e-03 5092.364 < 2e-16 ***
DESTIN_GRID_ID1552 1.157e+01 9.412e-03 1228.807 < 2e-16 ***
DESTIN_GRID_ID1553 1.299e+01 3.213e-03 4041.289 < 2e-16 ***
DESTIN_GRID_ID1563 1.364e+01 2.446e-03 5576.709 < 2e-16 ***
DESTIN_GRID_ID1564 1.367e+01 1.855e-03 7370.226 < 2e-16 ***
DESTIN_GRID_ID1578 1.169e+01 6.337e-03 1844.346 < 2e-16 ***
DESTIN_GRID_ID1579 1.384e+01 2.160e-03 6407.308 < 2e-16 ***
DESTIN_GRID_ID1590 1.338e+01 2.141e-03 6249.700 < 2e-16 ***
DESTIN_GRID_ID1591 1.382e+01 2.131e-03 6484.989 < 2e-16 ***
DESTIN_GRID_ID1605 1.329e+01 2.503e-03 5311.197 < 2e-16 ***
DESTIN_GRID_ID1606 1.326e+01 2.577e-03 5143.998 < 2e-16 ***
DESTIN_GRID_ID1617 1.220e+01 6.541e-03 1865.688 < 2e-16 ***
DESTIN_GRID_ID1618 1.519e+01 1.623e-03 9360.940 < 2e-16 ***
DESTIN_GRID_ID1631 1.290e+01 3.196e-03 4037.303 < 2e-16 ***
DESTIN_GRID_ID1632 1.300e+01 2.666e-03 4875.988 < 2e-16 ***
DESTIN_GRID_ID1634 1.298e+01 4.425e-03 2934.094 < 2e-16 ***
DESTIN_GRID_ID1644 1.347e+01 2.461e-03 5473.222 < 2e-16 ***
DESTIN_GRID_ID1645 1.392e+01 2.052e-03 6784.468 < 2e-16 ***
DESTIN_GRID_ID1658 1.281e+01 3.319e-03 3858.864 < 2e-16 ***
DESTIN_GRID_ID1659 1.357e+01 2.030e-03 6683.115 < 2e-16 ***
DESTIN_GRID_ID1672 1.339e+01 3.541e-03 3782.919 < 2e-16 ***
DESTIN_GRID_ID1684 1.348e+01 2.443e-03 5515.684 < 2e-16 ***
DESTIN_GRID_ID1685 1.319e+01 3.442e-03 3831.128 < 2e-16 ***
DESTIN_GRID_ID1686 1.321e+01 2.487e-03 5310.316 < 2e-16 ***
DESTIN_GRID_ID1688 1.266e+01 5.943e-03 2130.103 < 2e-16 ***
DESTIN_GRID_ID1699 1.355e+01 2.212e-03 6125.723 < 2e-16 ***
DESTIN_GRID_ID1700 1.310e+01 5.999e-03 2184.079 < 2e-16 ***
DESTIN_GRID_ID1712 1.211e+01 3.983e-03 3040.855 < 2e-16 ***
DESTIN_GRID_ID1713 1.394e+01 1.841e-03 7570.374 < 2e-16 ***
DESTIN_GRID_ID1727 1.374e+01 2.012e-03 6830.314 < 2e-16 ***
DESTIN_GRID_ID1739 1.405e+01 1.759e-03 7985.015 < 2e-16 ***
DESTIN_GRID_ID1753 1.506e+01 1.591e-03 9465.109 < 2e-16 ***
DESTIN_GRID_ID1754 1.323e+01 2.753e-03 4805.796 < 2e-16 ***
DESTIN_GRID_ID1766 1.350e+01 2.003e-03 6741.670 < 2e-16 ***
DESTIN_GRID_ID1767 1.350e+01 1.937e-03 6966.423 < 2e-16 ***
DESTIN_GRID_ID1780 1.295e+01 1.006e-02 1287.705 < 2e-16 ***
DESTIN_GRID_ID1781 1.325e+01 2.384e-03 5557.804 < 2e-16 ***
DESTIN_GRID_ID1792 1.259e+01 3.060e-03 4114.127 < 2e-16 ***
DESTIN_GRID_ID1793 1.377e+01 1.857e-03 7413.934 < 2e-16 ***
DESTIN_GRID_ID1794 1.270e+01 3.568e-03 3557.889 < 2e-16 ***
DESTIN_GRID_ID1807 1.205e+01 3.416e-03 3526.782 < 2e-16 ***
DESTIN_GRID_ID1820 1.292e+01 2.779e-03 4649.221 < 2e-16 ***
DESTIN_GRID_ID1821 1.446e+01 1.702e-03 8499.581 < 2e-16 ***
DESTIN_GRID_ID1833 1.401e+01 1.765e-03 7938.832 < 2e-16 ***
DESTIN_GRID_ID1835 1.237e+01 3.639e-03 3400.065 < 2e-16 ***
DESTIN_GRID_ID1847 1.170e+01 9.244e-03 1265.890 < 2e-16 ***
DESTIN_GRID_ID1854 1.305e+01 3.548e-03 3677.248 < 2e-16 ***
DESTIN_GRID_ID1859 1.280e+01 2.201e-03 5816.394 < 2e-16 ***
DESTIN_GRID_ID1860 1.305e+01 2.283e-03 5714.365 < 2e-16 ***
DESTIN_GRID_ID1861 1.279e+01 3.488e-03 3667.444 < 2e-16 ***
DESTIN_GRID_ID1874 1.327e+01 2.445e-03 5426.926 < 2e-16 ***
DESTIN_GRID_ID1875 1.363e+01 1.967e-03 6932.424 < 2e-16 ***
DESTIN_GRID_ID1882 1.386e+01 2.036e-03 6809.509 < 2e-16 ***
DESTIN_GRID_ID1883 1.245e+01 3.781e-03 3293.197 < 2e-16 ***
DESTIN_GRID_ID1886 1.529e+01 1.610e-03 9496.111 < 2e-16 ***
DESTIN_GRID_ID1887 1.514e+01 1.560e-03 9700.926 < 2e-16 ***
DESTIN_GRID_ID1888 1.288e+01 3.491e-03 3690.027 < 2e-16 ***
DESTIN_GRID_ID1905 1.241e+01 3.955e-03 3138.656 < 2e-16 ***
DESTIN_GRID_ID1907 1.333e+01 2.540e-03 5248.755 < 2e-16 ***
DESTIN_GRID_ID1908 1.266e+01 3.240e-03 3907.326 < 2e-16 ***
DESTIN_GRID_ID1909 1.304e+01 2.487e-03 5241.964 < 2e-16 ***
DESTIN_GRID_ID1912 9.951e+00 2.099e-02 474.112 < 2e-16 ***
DESTIN_GRID_ID1913 1.315e+01 2.159e-03 6092.767 < 2e-16 ***
DESTIN_GRID_ID1914 1.380e+01 1.956e-03 7055.263 < 2e-16 ***
DESTIN_GRID_ID1928 1.321e+01 2.975e-03 4439.677 < 2e-16 ***
DESTIN_GRID_ID1929 1.317e+01 3.093e-03 4258.696 < 2e-16 ***
DESTIN_GRID_ID1933 1.398e+01 2.045e-03 6837.059 < 2e-16 ***
DESTIN_GRID_ID1935 1.341e+01 2.490e-03 5384.650 < 2e-16 ***
DESTIN_GRID_ID1936 1.331e+01 2.426e-03 5488.463 < 2e-16 ***
DESTIN_GRID_ID1937 1.325e+01 2.495e-03 5309.243 < 2e-16 ***
DESTIN_GRID_ID1940 1.307e+01 2.368e-03 5519.361 < 2e-16 ***
DESTIN_GRID_ID1941 1.231e+01 3.320e-03 3706.837 < 2e-16 ***
DESTIN_GRID_ID1942 1.336e+01 4.578e-03 2917.574 < 2e-16 ***
DESTIN_GRID_ID1955 1.403e+01 2.070e-03 6775.335 < 2e-16 ***
DESTIN_GRID_ID1959 1.371e+01 2.114e-03 6482.620 < 2e-16 ***
DESTIN_GRID_ID1960 1.398e+01 1.856e-03 7535.206 < 2e-16 ***
DESTIN_GRID_ID1962 1.286e+01 2.633e-03 4883.878 < 2e-16 ***
DESTIN_GRID_ID1963 1.278e+01 2.483e-03 5145.700 < 2e-16 ***
DESTIN_GRID_ID1967 1.350e+01 2.164e-03 6238.184 < 2e-16 ***
DESTIN_GRID_ID1968 1.352e+01 2.573e-03 5254.616 < 2e-16 ***
DESTIN_GRID_ID1985 1.356e+01 2.698e-03 5026.844 < 2e-16 ***
DESTIN_GRID_ID1987 1.472e+01 1.630e-03 9031.111 < 2e-16 ***
DESTIN_GRID_ID1988 1.259e+01 2.800e-03 4497.557 < 2e-16 ***
DESTIN_GRID_ID1989 1.243e+01 3.192e-03 3895.061 < 2e-16 ***
DESTIN_GRID_ID1990 1.498e+01 1.582e-03 9466.016 < 2e-16 ***
DESTIN_GRID_ID1994 1.100e+01 1.249e-02 880.348 < 2e-16 ***
DESTIN_GRID_ID1995 1.298e+01 2.702e-03 4804.313 < 2e-16 ***
DESTIN_GRID_ID2010 1.369e+01 1.912e-03 7162.171 < 2e-16 ***
DESTIN_GRID_ID2011 1.372e+01 2.144e-03 6399.768 < 2e-16 ***
DESTIN_GRID_ID2012 1.290e+01 3.237e-03 3986.087 < 2e-16 ***
DESTIN_GRID_ID2013 1.304e+01 2.190e-03 5953.992 < 2e-16 ***
DESTIN_GRID_ID2014 1.317e+01 2.083e-03 6323.687 < 2e-16 ***
DESTIN_GRID_ID2015 1.359e+01 2.624e-03 5176.849 < 2e-16 ***
DESTIN_GRID_ID2016 1.317e+01 2.297e-03 5733.871 < 2e-16 ***
DESTIN_GRID_ID2017 1.322e+01 2.271e-03 5818.572 < 2e-16 ***
DESTIN_GRID_ID2021 1.168e+01 6.500e-03 1796.333 < 2e-16 ***
DESTIN_GRID_ID2038 1.437e+01 1.717e-03 8369.071 < 2e-16 ***
DESTIN_GRID_ID2039 1.283e+01 3.216e-03 3988.567 < 2e-16 ***
DESTIN_GRID_ID2040 1.306e+01 2.442e-03 5349.309 < 2e-16 ***
DESTIN_GRID_ID2041 1.379e+01 1.912e-03 7210.272 < 2e-16 ***
DESTIN_GRID_ID2042 1.278e+01 3.147e-03 4060.266 < 2e-16 ***
DESTIN_GRID_ID2043 1.357e+01 2.505e-03 5418.461 < 2e-16 ***
DESTIN_GRID_ID2044 1.346e+01 2.039e-03 6602.525 < 2e-16 ***
DESTIN_GRID_ID2064 1.347e+01 2.592e-03 5196.147 < 2e-16 ***
DESTIN_GRID_ID2065 1.325e+01 2.567e-03 5162.428 < 2e-16 ***
DESTIN_GRID_ID2066 1.330e+01 2.056e-03 6466.334 < 2e-16 ***
DESTIN_GRID_ID2067 1.266e+01 3.130e-03 4042.720 < 2e-16 ***
DESTIN_GRID_ID2068 1.311e+01 2.680e-03 4890.492 < 2e-16 ***
DESTIN_GRID_ID2070 1.359e+01 2.622e-03 5184.237 < 2e-16 ***
DESTIN_GRID_ID2071 1.366e+01 2.323e-03 5879.817 < 2e-16 ***
DESTIN_GRID_ID2093 1.363e+01 1.932e-03 7053.181 < 2e-16 ***
DESTIN_GRID_ID2094 1.352e+01 2.138e-03 6323.943 < 2e-16 ***
DESTIN_GRID_ID2095 1.348e+01 3.041e-03 4431.788 < 2e-16 ***
DESTIN_GRID_ID2098 1.332e+01 2.829e-03 4708.138 < 2e-16 ***
DESTIN_GRID_ID2119 1.338e+01 2.533e-03 5282.480 < 2e-16 ***
DESTIN_GRID_ID2120 1.405e+01 2.035e-03 6902.384 < 2e-16 ***
DESTIN_GRID_ID2123 1.248e+01 3.320e-03 3760.495 < 2e-16 ***
DESTIN_GRID_ID2147 1.359e+01 2.075e-03 6552.479 < 2e-16 ***
DESTIN_GRID_ID2148 1.334e+01 2.151e-03 6202.928 < 2e-16 ***
DESTIN_GRID_ID2149 1.386e+01 2.358e-03 5877.814 < 2e-16 ***
DESTIN_GRID_ID2150 1.161e+01 5.985e-03 1940.660 < 2e-16 ***
DESTIN_GRID_ID2151 1.176e+01 5.189e-03 2266.838 < 2e-16 ***
DESTIN_GRID_ID2152 1.415e+01 1.975e-03 7165.145 < 2e-16 ***
DESTIN_GRID_ID2154 1.203e+01 4.649e-03 2587.927 < 2e-16 ***
DESTIN_GRID_ID2174 1.193e+01 4.820e-03 2475.605 < 2e-16 ***
DESTIN_GRID_ID2177 1.531e+01 1.541e-03 9930.780 < 2e-16 ***
DESTIN_GRID_ID2178 1.234e+01 2.834e-03 4355.643 < 2e-16 ***
DESTIN_GRID_ID2179 1.365e+01 2.141e-03 6376.949 < 2e-16 ***
DESTIN_GRID_ID2180 1.267e+01 3.642e-03 3477.575 < 2e-16 ***
DESTIN_GRID_ID2201 1.326e+01 2.429e-03 5458.271 < 2e-16 ***
DESTIN_GRID_ID2203 1.314e+01 3.591e-03 3660.155 < 2e-16 ***
DESTIN_GRID_ID2204 1.348e+01 2.450e-03 5502.465 < 2e-16 ***
DESTIN_GRID_ID2205 1.280e+01 2.406e-03 5319.204 < 2e-16 ***
DESTIN_GRID_ID2206 1.371e+01 1.861e-03 7365.638 < 2e-16 ***
DESTIN_GRID_ID2208 1.316e+01 2.636e-03 4993.227 < 2e-16 ***
DESTIN_GRID_ID2228 1.293e+01 2.696e-03 4797.102 < 2e-16 ***
DESTIN_GRID_ID2231 1.308e+01 2.366e-03 5528.759 < 2e-16 ***
DESTIN_GRID_ID2233 1.364e+01 1.826e-03 7468.687 < 2e-16 ***
DESTIN_GRID_ID2234 7.526e+00 9.130e-02 82.431 < 2e-16 ***
DESTIN_GRID_ID2235 1.066e+01 3.132e-02 340.313 < 2e-16 ***
DESTIN_GRID_ID2254 1.333e+01 5.669e-03 2351.401 < 2e-16 ***
DESTIN_GRID_ID2255 1.266e+01 4.081e-03 3101.768 < 2e-16 ***
DESTIN_GRID_ID2256 1.302e+01 2.575e-03 5055.732 < 2e-16 ***
DESTIN_GRID_ID2257 1.284e+01 7.745e-03 1657.494 < 2e-16 ***
DESTIN_GRID_ID2259 1.229e+01 4.370e-03 2812.983 < 2e-16 ***
DESTIN_GRID_ID2260 1.287e+01 2.292e-03 5615.539 < 2e-16 ***
DESTIN_GRID_ID2261 1.291e+01 2.291e-03 5634.859 < 2e-16 ***
DESTIN_GRID_ID2262 1.191e+01 4.894e-03 2434.008 < 2e-16 ***
DESTIN_GRID_ID2281 1.285e+01 3.945e-03 3256.339 < 2e-16 ***
DESTIN_GRID_ID2282 1.406e+01 1.933e-03 7273.519 < 2e-16 ***
DESTIN_GRID_ID2283 1.283e+01 2.713e-03 4729.537 < 2e-16 ***
DESTIN_GRID_ID2285 1.358e+01 2.191e-03 6199.267 < 2e-16 ***
DESTIN_GRID_ID2286 1.273e+01 2.765e-03 4603.093 < 2e-16 ***
DESTIN_GRID_ID2287 1.368e+01 1.721e-03 7948.627 < 2e-16 ***
DESTIN_GRID_ID2288 1.128e+01 6.842e-03 1648.048 < 2e-16 ***
DESTIN_GRID_ID2310 1.336e+01 2.212e-03 6040.814 < 2e-16 ***
DESTIN_GRID_ID2312 1.233e+01 5.091e-03 2422.597 < 2e-16 ***
DESTIN_GRID_ID2313 1.450e+01 1.721e-03 8424.514 < 2e-16 ***
DESTIN_GRID_ID2314 1.452e+01 1.588e-03 9146.824 < 2e-16 ***
DESTIN_GRID_ID2315 1.254e+01 2.674e-03 4691.176 < 2e-16 ***
DESTIN_GRID_ID2316 1.323e+01 2.032e-03 6510.627 < 2e-16 ***
DESTIN_GRID_ID2335 1.170e+01 1.356e-02 863.240 < 2e-16 ***
DESTIN_GRID_ID2339 1.338e+01 2.586e-03 5174.072 < 2e-16 ***
DESTIN_GRID_ID2340 1.323e+01 1.936e-03 6835.473 < 2e-16 ***
DESTIN_GRID_ID2341 1.358e+01 1.770e-03 7671.054 < 2e-16 ***
DESTIN_GRID_ID2342 1.240e+01 2.424e-03 5115.875 < 2e-16 ***
DESTIN_GRID_ID2343 1.225e+01 3.844e-03 3186.658 < 2e-16 ***
DESTIN_GRID_ID2363 1.252e+01 3.875e-03 3230.834 < 2e-16 ***
DESTIN_GRID_ID2367 1.303e+01 3.194e-03 4078.983 < 2e-16 ***
DESTIN_GRID_ID2368 1.315e+01 2.280e-03 5768.095 < 2e-16 ***
DESTIN_GRID_ID2369 1.394e+01 1.853e-03 7524.119 < 2e-16 ***
DESTIN_GRID_ID2370 1.481e+01 1.611e-03 9191.422 < 2e-16 ***
DESTIN_GRID_ID2371 1.278e+01 2.624e-03 4871.384 < 2e-16 ***
DESTIN_GRID_ID2390 1.406e+01 1.976e-03 7113.269 < 2e-16 ***
DESTIN_GRID_ID2391 1.384e+01 2.106e-03 6571.018 < 2e-16 ***
DESTIN_GRID_ID2394 1.157e+01 5.931e-03 1950.312 < 2e-16 ***
DESTIN_GRID_ID2395 1.301e+01 2.171e-03 5993.933 < 2e-16 ***
DESTIN_GRID_ID2396 1.309e+01 1.932e-03 6778.992 < 2e-16 ***
DESTIN_GRID_ID2397 1.159e+01 5.587e-03 2073.945 < 2e-16 ***
DESTIN_GRID_ID2398 1.236e+01 3.731e-03 3312.017 < 2e-16 ***
DESTIN_GRID_ID2418 1.330e+01 2.860e-03 4650.068 < 2e-16 ***
DESTIN_GRID_ID2419 1.388e+01 2.382e-03 5826.679 < 2e-16 ***
DESTIN_GRID_ID2422 1.178e+01 9.127e-03 1290.405 < 2e-16 ***
DESTIN_GRID_ID2423 1.218e+01 3.490e-03 3489.177 < 2e-16 ***
DESTIN_GRID_ID2424 1.352e+01 1.905e-03 7094.094 < 2e-16 ***
DESTIN_GRID_ID2425 1.477e+01 1.677e-03 8811.610 < 2e-16 ***
DESTIN_GRID_ID2426 1.290e+01 4.415e-03 2920.607 < 2e-16 ***
DESTIN_GRID_ID2443 1.408e+01 1.967e-03 7155.923 < 2e-16 ***
DESTIN_GRID_ID2445 1.366e+01 2.120e-03 6442.569 < 2e-16 ***
DESTIN_GRID_ID2449 1.202e+01 6.127e-03 1962.331 < 2e-16 ***
DESTIN_GRID_ID2450 1.244e+01 2.748e-03 4528.501 < 2e-16 ***
DESTIN_GRID_ID2451 1.377e+01 1.783e-03 7723.830 < 2e-16 ***
DESTIN_GRID_ID2472 1.114e+01 1.621e-02 687.218 < 2e-16 ***
DESTIN_GRID_ID2473 1.385e+01 2.410e-03 5747.065 < 2e-16 ***
DESTIN_GRID_ID2478 1.268e+01 2.762e-03 4591.579 < 2e-16 ***
DESTIN_GRID_ID2479 1.180e+01 7.754e-03 1522.178 < 2e-16 ***
DESTIN_GRID_ID2497 1.338e+01 2.432e-03 5502.080 < 2e-16 ***
DESTIN_GRID_ID2499 1.272e+01 3.849e-03 3305.561 < 2e-16 ***
DESTIN_GRID_ID2505 1.298e+01 2.931e-03 4427.097 < 2e-16 ***
DESTIN_GRID_ID2527 1.419e+01 1.931e-03 7349.065 < 2e-16 ***
DESTIN_GRID_ID2532 1.204e+01 4.335e-03 2777.644 < 2e-16 ***
DESTIN_GRID_ID2533 1.196e+01 6.452e-03 1853.734 < 2e-16 ***
DESTIN_GRID_ID2551 1.326e+01 3.626e-03 3657.968 < 2e-16 ***
DESTIN_GRID_ID2553 1.253e+01 5.669e-03 2209.991 < 2e-16 ***
DESTIN_GRID_ID2554 1.178e+01 7.150e-03 1647.531 < 2e-16 ***
DESTIN_GRID_ID2559 1.207e+01 5.798e-03 2081.343 < 2e-16 ***
DESTIN_GRID_ID2580 1.355e+01 2.380e-03 5694.418 < 2e-16 ***
DESTIN_GRID_ID2581 1.246e+01 5.042e-03 2470.970 < 2e-16 ***
DESTIN_GRID_ID2607 1.312e+01 2.506e-03 5237.100 < 2e-16 ***
DESTIN_GRID_ID2608 1.213e+01 5.472e-03 2216.545 < 2e-16 ***
DESTIN_GRID_ID2634 1.518e+01 1.633e-03 9291.814 < 2e-16 ***
DESTIN_GRID_ID2635 1.257e+01 3.631e-03 3461.300 < 2e-16 ***
DESTIN_GRID_ID2636 1.342e+01 2.534e-03 5298.092 < 2e-16 ***
DESTIN_GRID_ID2661 1.303e+01 2.336e-03 5577.256 < 2e-16 ***
DESTIN_GRID_ID2663 1.364e+01 1.916e-03 7120.521 < 2e-16 ***
DESTIN_GRID_ID2665 1.405e+01 2.125e-03 6610.449 < 2e-16 ***
DESTIN_GRID_ID2688 1.319e+01 2.618e-03 5039.069 < 2e-16 ***
DESTIN_GRID_ID2689 1.392e+01 2.002e-03 6954.884 < 2e-16 ***
DESTIN_GRID_ID2690 1.353e+01 2.136e-03 6334.669 < 2e-16 ***
DESTIN_GRID_ID2691 1.319e+01 2.143e-03 6154.648 < 2e-16 ***
DESTIN_GRID_ID2693 1.360e+01 2.360e-03 5763.659 < 2e-16 ***
DESTIN_GRID_ID2715 1.310e+01 2.889e-03 4534.976 < 2e-16 ***
DESTIN_GRID_ID2717 1.328e+01 1.925e-03 6896.372 < 2e-16 ***
DESTIN_GRID_ID2718 1.232e+01 3.952e-03 3117.805 < 2e-16 ***
DESTIN_GRID_ID2719 1.345e+01 2.054e-03 6551.301 < 2e-16 ***
DESTIN_GRID_ID2742 1.337e+01 2.510e-03 5327.603 < 2e-16 ***
DESTIN_GRID_ID2743 1.323e+01 3.673e-03 3601.236 < 2e-16 ***
DESTIN_GRID_ID2744 1.380e+01 1.947e-03 7088.478 < 2e-16 ***
DESTIN_GRID_ID2745 1.357e+01 1.959e-03 6927.808 < 2e-16 ***
DESTIN_GRID_ID2747 1.273e+01 3.167e-03 4020.503 < 2e-16 ***
DESTIN_GRID_ID2768 1.339e+01 2.656e-03 5039.639 < 2e-16 ***
DESTIN_GRID_ID2771 1.519e+01 1.599e-03 9503.509 < 2e-16 ***
DESTIN_GRID_ID2773 1.263e+01 2.751e-03 4589.922 < 2e-16 ***
DESTIN_GRID_ID2798 1.193e+01 4.430e-03 2692.408 < 2e-16 ***
DESTIN_GRID_ID2799 1.285e+01 2.341e-03 5489.346 < 2e-16 ***
DESTIN_GRID_ID2800 1.448e+01 1.712e-03 8457.691 < 2e-16 ***
DESTIN_GRID_ID2824 1.426e+01 1.998e-03 7139.241 < 2e-16 ***
DESTIN_GRID_ID2825 1.323e+01 2.000e-03 6612.787 < 2e-16 ***
DESTIN_GRID_ID2826 1.261e+01 3.369e-03 3742.421 < 2e-16 ***
DESTIN_GRID_ID2827 1.506e+01 1.630e-03 9240.185 < 2e-16 ***
DESTIN_GRID_ID2852 1.275e+01 3.247e-03 3927.454 < 2e-16 ***
DESTIN_GRID_ID2853 1.420e+01 1.661e-03 8551.930 < 2e-16 ***
DESTIN_GRID_ID2854 1.358e+01 2.084e-03 6515.249 < 2e-16 ***
DESTIN_GRID_ID2878 1.287e+01 3.169e-03 4062.195 < 2e-16 ***
DESTIN_GRID_ID2879 1.296e+01 2.501e-03 5179.869 < 2e-16 ***
DESTIN_GRID_ID2880 1.239e+01 3.141e-03 3944.581 < 2e-16 ***
DESTIN_GRID_ID2881 1.335e+01 2.724e-03 4900.186 < 2e-16 ***
DESTIN_GRID_ID2907 1.235e+01 4.172e-03 2959.567 < 2e-16 ***
DESTIN_GRID_ID2908 1.364e+01 2.181e-03 6252.640 < 2e-16 ***
DESTIN_GRID_ID2933 1.437e+01 2.757e-03 5211.538 < 2e-16 ***
DESTIN_GRID_ID2934 1.279e+01 3.021e-03 4234.022 < 2e-16 ***
DESTIN_GRID_ID3098 1.385e+01 3.413e-03 4057.014 < 2e-16 ***
log(TORIGIN_BIZ_COUNT) -6.729e-03 9.835e-05 -68.419 < 2e-16 ***
log(TORIGIN_FINSERV_COUNT) 6.685e-02 8.929e-05 748.698 < 2e-16 ***
log(TORIGIN_MRTEXIT_COUNT) 5.178e-02 1.609e-04 321.881 < 2e-16 ***
log(TORIGIN_BUSSTOP_COUNT) 2.121e-01 2.471e-04 858.370 < 2e-16 ***
log(TORIGIN_HDBCOMM_UNITS) -2.230e-04 5.390e-05 -4.137 3.52e-05 ***
log(TORIGIN_HDBRES_UNITS) 4.342e-01 1.614e-04 2689.853 < 2e-16 ***
log(TORIGIN_SCHOOLS_COUNT) 1.357e-01 2.186e-04 620.853 < 2e-16 ***
log(DISTANCE) -1.391e+00 1.213e-04 -11467.388 < 2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(Dispersion parameter for poisson family taken to be 1)
Null deviance: 2954357158 on 101715 degrees of freedom
Residual deviance: 140474768 on 101359 degrees of freedom
AIC: 141233707
Number of Fisher Scoring iterations: 6CalcRSquared(decSIM_Poisson2$data$TRIPS, decSIM_Poisson2$fitted.values)[1] 0.5807757model_list2 <- list(originConstrained2=orcSIM_Poisson2,
destinationConstrained2=decSIM_Poisson2,
doublyConstrained=dbcSIM_Poisson)compare_performance(model_list2,
metrics = "RMSE")# Comparison of Model Performance Indices
Name | Model | RMSE
------------------------------------------
originConstrained2 | glm | 3156.833
destinationConstrained2 | glm | 3333.398
doublyConstrained | glm | 2365.4628.1.2 Remove outliers
Filter out the 2 extreme trip values: 87864, 71996
inter_zonal_flow1 <- inter_zonal_flow %>%
filter(TRIPS <71996)
summary(inter_zonal_flow1$TRIPS) Min. 1st Qu. Median Mean 3rd Qu. Max.
1 63 300 1790 1295 56944 orcSIM_Poisson3 <- glm(formula = TRIPS ~
ORIGIN_GRID_ID +
log(TDESTIN_BIZ_COUNT) +
log(TDESTIN_FINSERV_COUNT) +
log(TDESTIN_MRTEXIT_COUNT) +
log(TDESTIN_BUSSTOP_COUNT) +
log(TDESTIN_HDBCOMMERCIAL_COUNT) +
log(TDESTIN_HDBRESIDENTIAL_COUNT) +
log(TDESTIN_HDBCOMM_UNITS) +
log(TDESTIN_HDBRES_UNITS) +
log(TDESTIN_SCHOOLS_COUNT) +
log(DISTANCE) - 1,
family = poisson(link = "log"),
data = inter_zonal_flow1,
na.action = na.exclude)
summary(orcSIM_Poisson3)
Call:
glm(formula = TRIPS ~ ORIGIN_GRID_ID + log(TDESTIN_BIZ_COUNT) +
log(TDESTIN_FINSERV_COUNT) + log(TDESTIN_MRTEXIT_COUNT) +
log(TDESTIN_BUSSTOP_COUNT) + log(TDESTIN_HDBCOMMERCIAL_COUNT) +
log(TDESTIN_HDBRESIDENTIAL_COUNT) + log(TDESTIN_HDBCOMM_UNITS) +
log(TDESTIN_HDBRES_UNITS) + log(TDESTIN_SCHOOLS_COUNT) +
log(DISTANCE) - 1, family = poisson(link = "log"), data = inter_zonal_flow1,
na.action = na.exclude)
Coefficients:
Estimate Std. Error z value Pr(>|z|)
ORIGIN_GRID_ID664 1.529e+01 2.328e-02 656.82 <2e-16 ***
ORIGIN_GRID_ID718 1.927e+01 2.169e-03 8880.66 <2e-16 ***
ORIGIN_GRID_ID745 1.696e+01 3.088e-03 5490.62 <2e-16 ***
ORIGIN_GRID_ID746 1.901e+01 2.220e-03 8561.65 <2e-16 ***
ORIGIN_GRID_ID772 1.869e+01 2.086e-03 8957.97 <2e-16 ***
ORIGIN_GRID_ID799 1.808e+01 2.810e-03 6434.11 <2e-16 ***
ORIGIN_GRID_ID800 1.778e+01 2.533e-03 7017.92 <2e-16 ***
ORIGIN_GRID_ID826 1.892e+01 2.100e-03 9005.69 <2e-16 ***
ORIGIN_GRID_ID827 1.896e+01 2.281e-03 8311.04 <2e-16 ***
ORIGIN_GRID_ID854 1.782e+01 2.669e-03 6678.84 <2e-16 ***
ORIGIN_GRID_ID880 1.724e+01 3.263e-03 5283.79 <2e-16 ***
ORIGIN_GRID_ID881 1.647e+01 6.231e-03 2643.54 <2e-16 ***
ORIGIN_GRID_ID908 1.871e+01 2.164e-03 8645.65 <2e-16 ***
ORIGIN_GRID_ID934 1.738e+01 2.779e-03 6252.54 <2e-16 ***
ORIGIN_GRID_ID935 1.814e+01 2.352e-03 7709.51 <2e-16 ***
ORIGIN_GRID_ID961 1.850e+01 2.348e-03 7880.12 <2e-16 ***
ORIGIN_GRID_ID962 1.872e+01 2.186e-03 8563.19 <2e-16 ***
ORIGIN_GRID_ID987 1.905e+01 2.195e-03 8680.78 <2e-16 ***
ORIGIN_GRID_ID988 1.754e+01 2.825e-03 6208.54 <2e-16 ***
ORIGIN_GRID_ID989 1.865e+01 2.169e-03 8597.13 <2e-16 ***
ORIGIN_GRID_ID1015 1.745e+01 3.370e-03 5177.73 <2e-16 ***
ORIGIN_GRID_ID1016 1.764e+01 2.486e-03 7096.00 <2e-16 ***
ORIGIN_GRID_ID1043 1.786e+01 3.141e-03 5685.25 <2e-16 ***
ORIGIN_GRID_ID1068 1.552e+01 1.920e-02 808.71 <2e-16 ***
ORIGIN_GRID_ID1070 1.809e+01 2.342e-03 7724.31 <2e-16 ***
ORIGIN_GRID_ID1096 1.761e+01 2.403e-03 7329.67 <2e-16 ***
ORIGIN_GRID_ID1097 1.745e+01 2.988e-03 5840.29 <2e-16 ***
ORIGIN_GRID_ID1099 1.896e+01 2.149e-03 8821.88 <2e-16 ***
ORIGIN_GRID_ID1122 1.859e+01 2.268e-03 8197.75 <2e-16 ***
ORIGIN_GRID_ID1123 1.829e+01 2.249e-03 8129.98 <2e-16 ***
ORIGIN_GRID_ID1124 1.764e+01 2.619e-03 6734.54 <2e-16 ***
ORIGIN_GRID_ID1125 1.825e+01 2.488e-03 7335.47 <2e-16 ***
ORIGIN_GRID_ID1127 1.823e+01 2.176e-03 8379.87 <2e-16 ***
ORIGIN_GRID_ID1128 1.811e+01 2.464e-03 7350.11 <2e-16 ***
ORIGIN_GRID_ID1148 1.714e+01 3.230e-03 5306.53 <2e-16 ***
ORIGIN_GRID_ID1150 1.852e+01 2.147e-03 8626.70 <2e-16 ***
ORIGIN_GRID_ID1151 1.797e+01 2.366e-03 7594.56 <2e-16 ***
ORIGIN_GRID_ID1152 1.818e+01 2.667e-03 6817.39 <2e-16 ***
ORIGIN_GRID_ID1153 1.870e+01 2.237e-03 8361.13 <2e-16 ***
ORIGIN_GRID_ID1154 1.874e+01 2.206e-03 8494.06 <2e-16 ***
ORIGIN_GRID_ID1155 1.546e+01 1.048e-02 1476.23 <2e-16 ***
ORIGIN_GRID_ID1176 1.741e+01 2.869e-03 6070.30 <2e-16 ***
ORIGIN_GRID_ID1178 1.756e+01 2.447e-03 7175.04 <2e-16 ***
ORIGIN_GRID_ID1179 1.729e+01 2.736e-03 6320.32 <2e-16 ***
ORIGIN_GRID_ID1180 1.632e+01 5.684e-03 2871.84 <2e-16 ***
ORIGIN_GRID_ID1181 1.744e+01 2.328e-03 7493.06 <2e-16 ***
ORIGIN_GRID_ID1182 1.831e+01 2.174e-03 8423.07 <2e-16 ***
ORIGIN_GRID_ID1183 1.895e+01 2.724e-03 6956.09 <2e-16 ***
ORIGIN_GRID_ID1205 1.851e+01 2.168e-03 8535.98 <2e-16 ***
ORIGIN_GRID_ID1206 1.765e+01 2.575e-03 6854.97 <2e-16 ***
ORIGIN_GRID_ID1207 1.743e+01 3.066e-03 5686.38 <2e-16 ***
ORIGIN_GRID_ID1209 1.787e+01 2.478e-03 7212.98 <2e-16 ***
ORIGIN_GRID_ID1232 1.826e+01 2.240e-03 8148.86 <2e-16 ***
ORIGIN_GRID_ID1233 1.769e+01 3.147e-03 5620.63 <2e-16 ***
ORIGIN_GRID_ID1235 1.819e+01 2.463e-03 7386.22 <2e-16 ***
ORIGIN_GRID_ID1255 1.675e+01 1.075e-02 1558.82 <2e-16 ***
ORIGIN_GRID_ID1258 1.755e+01 3.324e-03 5279.53 <2e-16 ***
ORIGIN_GRID_ID1259 1.778e+01 2.484e-03 7156.22 <2e-16 ***
ORIGIN_GRID_ID1261 1.743e+01 2.576e-03 6767.95 <2e-16 ***
ORIGIN_GRID_ID1262 1.837e+01 2.281e-03 8054.83 <2e-16 ***
ORIGIN_GRID_ID1283 1.728e+01 3.086e-03 5600.58 <2e-16 ***
ORIGIN_GRID_ID1284 1.786e+01 3.203e-03 5576.26 <2e-16 ***
ORIGIN_GRID_ID1286 1.718e+01 4.038e-03 4255.06 <2e-16 ***
ORIGIN_GRID_ID1289 1.761e+01 2.406e-03 7317.48 <2e-16 ***
ORIGIN_GRID_ID1309 1.884e+01 2.402e-03 7842.75 <2e-16 ***
ORIGIN_GRID_ID1310 1.855e+01 2.248e-03 8250.41 <2e-16 ***
ORIGIN_GRID_ID1315 1.795e+01 2.332e-03 7696.20 <2e-16 ***
ORIGIN_GRID_ID1316 1.684e+01 3.545e-03 4750.18 <2e-16 ***
ORIGIN_GRID_ID1337 1.817e+01 2.349e-03 7732.98 <2e-16 ***
ORIGIN_GRID_ID1338 1.774e+01 5.451e-03 3254.94 <2e-16 ***
ORIGIN_GRID_ID1343 1.736e+01 2.628e-03 6604.82 <2e-16 ***
ORIGIN_GRID_ID1363 1.743e+01 3.590e-03 4854.93 <2e-16 ***
ORIGIN_GRID_ID1364 1.740e+01 2.842e-03 6121.33 <2e-16 ***
ORIGIN_GRID_ID1366 1.756e+01 3.187e-03 5509.69 <2e-16 ***
ORIGIN_GRID_ID1369 1.810e+01 2.243e-03 8068.62 <2e-16 ***
ORIGIN_GRID_ID1370 1.839e+01 2.382e-03 7719.28 <2e-16 ***
ORIGIN_GRID_ID1374 1.713e+01 3.229e-03 5304.86 <2e-16 ***
ORIGIN_GRID_ID1375 1.840e+01 3.592e-03 5122.41 <2e-16 ***
ORIGIN_GRID_ID1391 1.644e+01 5.068e-03 3243.89 <2e-16 ***
ORIGIN_GRID_ID1392 1.674e+01 4.201e-03 3984.47 <2e-16 ***
ORIGIN_GRID_ID1396 1.670e+01 6.142e-03 2719.93 <2e-16 ***
ORIGIN_GRID_ID1397 1.714e+01 3.202e-03 5351.65 <2e-16 ***
ORIGIN_GRID_ID1401 1.819e+01 2.463e-03 7385.91 <2e-16 ***
ORIGIN_GRID_ID1402 1.876e+01 2.141e-03 8765.50 <2e-16 ***
ORIGIN_GRID_ID1423 1.907e+01 6.146e-03 3102.24 <2e-16 ***
ORIGIN_GRID_ID1428 1.831e+01 2.412e-03 7591.85 <2e-16 ***
ORIGIN_GRID_ID1429 1.785e+01 3.514e-03 5078.30 <2e-16 ***
ORIGIN_GRID_ID1455 1.715e+01 3.057e-03 5610.73 <2e-16 ***
ORIGIN_GRID_ID1456 1.840e+01 2.235e-03 8233.40 <2e-16 ***
ORIGIN_GRID_ID1471 1.785e+01 2.584e-03 6909.46 <2e-16 ***
ORIGIN_GRID_ID1482 1.798e+01 2.347e-03 7658.64 <2e-16 ***
ORIGIN_GRID_ID1499 1.785e+01 2.555e-03 6988.31 <2e-16 ***
ORIGIN_GRID_ID1509 1.738e+01 3.741e-03 4645.64 <2e-16 ***
ORIGIN_GRID_ID1510 1.901e+01 2.081e-03 9133.79 <2e-16 ***
ORIGIN_GRID_ID1525 1.742e+01 2.738e-03 6362.56 <2e-16 ***
ORIGIN_GRID_ID1536 1.787e+01 2.281e-03 7834.95 <2e-16 ***
ORIGIN_GRID_ID1537 1.743e+01 3.896e-03 4473.36 <2e-16 ***
ORIGIN_GRID_ID1552 1.416e+01 1.434e-02 987.37 <2e-16 ***
ORIGIN_GRID_ID1553 1.658e+01 3.310e-03 5008.30 <2e-16 ***
ORIGIN_GRID_ID1563 1.752e+01 3.532e-03 4961.12 <2e-16 ***
ORIGIN_GRID_ID1564 1.894e+01 2.062e-03 9187.17 <2e-16 ***
ORIGIN_GRID_ID1578 1.554e+01 7.330e-03 2120.01 <2e-16 ***
ORIGIN_GRID_ID1579 1.788e+01 2.599e-03 6880.50 <2e-16 ***
ORIGIN_GRID_ID1590 1.868e+01 2.134e-03 8752.35 <2e-16 ***
ORIGIN_GRID_ID1591 1.899e+01 2.180e-03 8708.38 <2e-16 ***
ORIGIN_GRID_ID1605 1.688e+01 3.164e-03 5333.87 <2e-16 ***
ORIGIN_GRID_ID1606 1.690e+01 3.136e-03 5388.39 <2e-16 ***
ORIGIN_GRID_ID1617 1.695e+01 5.937e-03 2855.76 <2e-16 ***
ORIGIN_GRID_ID1618 1.865e+01 2.219e-03 8403.56 <2e-16 ***
ORIGIN_GRID_ID1631 1.601e+01 5.373e-03 2980.66 <2e-16 ***
ORIGIN_GRID_ID1632 1.746e+01 2.648e-03 6591.24 <2e-16 ***
ORIGIN_GRID_ID1634 1.729e+01 4.023e-03 4297.32 <2e-16 ***
ORIGIN_GRID_ID1644 1.756e+01 2.934e-03 5984.46 <2e-16 ***
ORIGIN_GRID_ID1645 1.877e+01 2.220e-03 8453.62 <2e-16 ***
ORIGIN_GRID_ID1658 1.802e+01 2.758e-03 6535.93 <2e-16 ***
ORIGIN_GRID_ID1659 1.735e+01 2.644e-03 6561.72 <2e-16 ***
ORIGIN_GRID_ID1672 1.761e+01 3.646e-03 4829.28 <2e-16 ***
ORIGIN_GRID_ID1684 1.753e+01 2.955e-03 5933.26 <2e-16 ***
ORIGIN_GRID_ID1685 1.670e+01 3.840e-03 4348.64 <2e-16 ***
ORIGIN_GRID_ID1686 1.726e+01 2.766e-03 6242.85 <2e-16 ***
ORIGIN_GRID_ID1688 1.485e+01 1.656e-02 896.95 <2e-16 ***
ORIGIN_GRID_ID1699 1.704e+01 3.010e-03 5662.36 <2e-16 ***
ORIGIN_GRID_ID1700 1.487e+01 2.252e-02 660.37 <2e-16 ***
ORIGIN_GRID_ID1712 1.670e+01 3.884e-03 4300.30 <2e-16 ***
ORIGIN_GRID_ID1713 1.797e+01 2.329e-03 7716.70 <2e-16 ***
ORIGIN_GRID_ID1727 1.907e+01 2.112e-03 9032.69 <2e-16 ***
ORIGIN_GRID_ID1739 1.720e+01 2.685e-03 6406.46 <2e-16 ***
ORIGIN_GRID_ID1753 1.862e+01 2.206e-03 8441.09 <2e-16 ***
ORIGIN_GRID_ID1754 1.794e+01 2.998e-03 5984.67 <2e-16 ***
ORIGIN_GRID_ID1766 1.826e+01 2.296e-03 7952.60 <2e-16 ***
ORIGIN_GRID_ID1767 1.761e+01 2.316e-03 7604.48 <2e-16 ***
ORIGIN_GRID_ID1780 1.606e+01 5.977e-03 2687.61 <2e-16 ***
ORIGIN_GRID_ID1781 1.791e+01 2.350e-03 7620.59 <2e-16 ***
ORIGIN_GRID_ID1792 1.719e+01 2.957e-03 5813.04 <2e-16 ***
ORIGIN_GRID_ID1793 1.784e+01 2.290e-03 7788.15 <2e-16 ***
ORIGIN_GRID_ID1794 1.636e+01 3.934e-03 4159.02 <2e-16 ***
ORIGIN_GRID_ID1807 1.746e+01 2.558e-03 6825.79 <2e-16 ***
ORIGIN_GRID_ID1820 1.712e+01 3.046e-03 5619.48 <2e-16 ***
ORIGIN_GRID_ID1821 1.840e+01 2.196e-03 8378.50 <2e-16 ***
ORIGIN_GRID_ID1833 1.824e+01 2.120e-03 8602.86 <2e-16 ***
ORIGIN_GRID_ID1835 1.786e+01 2.788e-03 6408.14 <2e-16 ***
ORIGIN_GRID_ID1847 1.740e+01 4.115e-03 4229.70 <2e-16 ***
ORIGIN_GRID_ID1854 1.634e+01 5.860e-03 2788.56 <2e-16 ***
ORIGIN_GRID_ID1859 1.721e+01 2.334e-03 7372.19 <2e-16 ***
ORIGIN_GRID_ID1860 1.765e+01 2.280e-03 7741.59 <2e-16 ***
ORIGIN_GRID_ID1861 1.842e+01 2.447e-03 7525.06 <2e-16 ***
ORIGIN_GRID_ID1874 1.683e+01 3.263e-03 5156.84 <2e-16 ***
ORIGIN_GRID_ID1875 1.720e+01 2.539e-03 6772.13 <2e-16 ***
ORIGIN_GRID_ID1882 1.774e+01 2.523e-03 7029.78 <2e-16 ***
ORIGIN_GRID_ID1883 1.716e+01 3.638e-03 4715.66 <2e-16 ***
ORIGIN_GRID_ID1886 1.842e+01 2.210e-03 8330.74 <2e-16 ***
ORIGIN_GRID_ID1887 1.826e+01 2.156e-03 8472.56 <2e-16 ***
ORIGIN_GRID_ID1888 1.744e+01 2.949e-03 5912.69 <2e-16 ***
ORIGIN_GRID_ID1905 1.572e+01 4.867e-03 3229.47 <2e-16 ***
ORIGIN_GRID_ID1907 1.717e+01 3.018e-03 5687.77 <2e-16 ***
ORIGIN_GRID_ID1908 1.657e+01 3.781e-03 4382.71 <2e-16 ***
ORIGIN_GRID_ID1909 1.784e+01 2.397e-03 7443.12 <2e-16 ***
ORIGIN_GRID_ID1912 1.582e+01 8.652e-03 1828.59 <2e-16 ***
ORIGIN_GRID_ID1913 1.711e+01 2.640e-03 6479.81 <2e-16 ***
ORIGIN_GRID_ID1914 1.874e+01 2.127e-03 8810.30 <2e-16 ***
ORIGIN_GRID_ID1928 1.605e+01 3.367e-03 4765.87 <2e-16 ***
ORIGIN_GRID_ID1929 1.592e+01 4.393e-03 3624.17 <2e-16 ***
ORIGIN_GRID_ID1933 1.685e+01 3.302e-03 5101.96 <2e-16 ***
ORIGIN_GRID_ID1935 1.728e+01 2.952e-03 5853.00 <2e-16 ***
ORIGIN_GRID_ID1936 1.767e+01 2.558e-03 6909.56 <2e-16 ***
ORIGIN_GRID_ID1937 1.703e+01 3.176e-03 5361.68 <2e-16 ***
ORIGIN_GRID_ID1940 1.781e+01 2.626e-03 6780.91 <2e-16 ***
ORIGIN_GRID_ID1941 1.784e+01 2.379e-03 7500.51 <2e-16 ***
ORIGIN_GRID_ID1942 1.744e+01 4.488e-03 3885.30 <2e-16 ***
ORIGIN_GRID_ID1955 1.775e+01 2.539e-03 6988.95 <2e-16 ***
ORIGIN_GRID_ID1959 1.741e+01 2.462e-03 7071.94 <2e-16 ***
ORIGIN_GRID_ID1960 1.774e+01 2.388e-03 7426.93 <2e-16 ***
ORIGIN_GRID_ID1962 1.744e+01 2.588e-03 6738.05 <2e-16 ***
ORIGIN_GRID_ID1963 1.671e+01 2.779e-03 6013.78 <2e-16 ***
ORIGIN_GRID_ID1967 1.899e+01 2.129e-03 8923.50 <2e-16 ***
ORIGIN_GRID_ID1968 1.912e+01 2.220e-03 8614.31 <2e-16 ***
ORIGIN_GRID_ID1985 1.598e+01 3.576e-03 4469.58 <2e-16 ***
ORIGIN_GRID_ID1987 1.821e+01 2.200e-03 8276.54 <2e-16 ***
ORIGIN_GRID_ID1988 1.672e+01 2.927e-03 5713.49 <2e-16 ***
ORIGIN_GRID_ID1989 1.695e+01 2.964e-03 5716.77 <2e-16 ***
ORIGIN_GRID_ID1990 1.871e+01 2.152e-03 8694.08 <2e-16 ***
ORIGIN_GRID_ID1994 1.709e+01 5.479e-03 3118.79 <2e-16 ***
ORIGIN_GRID_ID1995 1.927e+01 2.139e-03 9007.62 <2e-16 ***
ORIGIN_GRID_ID2010 1.602e+01 2.926e-03 5474.20 <2e-16 ***
ORIGIN_GRID_ID2011 1.709e+01 2.356e-03 7252.84 <2e-16 ***
ORIGIN_GRID_ID2012 1.615e+01 4.112e-03 3926.69 <2e-16 ***
ORIGIN_GRID_ID2013 1.700e+01 2.653e-03 6409.16 <2e-16 ***
ORIGIN_GRID_ID2014 1.731e+01 2.482e-03 6973.62 <2e-16 ***
ORIGIN_GRID_ID2015 1.729e+01 3.166e-03 5462.74 <2e-16 ***
ORIGIN_GRID_ID2016 1.748e+01 2.504e-03 6980.85 <2e-16 ***
ORIGIN_GRID_ID2017 1.748e+01 2.527e-03 6917.81 <2e-16 ***
ORIGIN_GRID_ID2021 1.742e+01 3.717e-03 4684.97 <2e-16 ***
ORIGIN_GRID_ID2038 1.633e+01 2.435e-03 6707.04 <2e-16 ***
ORIGIN_GRID_ID2039 1.774e+01 2.729e-03 6500.04 <2e-16 ***
ORIGIN_GRID_ID2040 1.797e+01 2.299e-03 7813.54 <2e-16 ***
ORIGIN_GRID_ID2041 1.882e+01 2.170e-03 8670.58 <2e-16 ***
ORIGIN_GRID_ID2042 1.724e+01 2.910e-03 5925.66 <2e-16 ***
ORIGIN_GRID_ID2043 1.602e+01 5.185e-03 3088.89 <2e-16 ***
ORIGIN_GRID_ID2044 1.851e+01 2.173e-03 8517.48 <2e-16 ***
ORIGIN_GRID_ID2064 1.401e+01 9.050e-03 1548.25 <2e-16 ***
ORIGIN_GRID_ID2065 1.623e+01 2.909e-03 5578.61 <2e-16 ***
ORIGIN_GRID_ID2066 1.653e+01 2.904e-03 5690.95 <2e-16 ***
ORIGIN_GRID_ID2067 1.785e+01 2.634e-03 6777.69 <2e-16 ***
ORIGIN_GRID_ID2068 1.792e+01 2.598e-03 6896.54 <2e-16 ***
ORIGIN_GRID_ID2070 1.801e+01 2.725e-03 6607.13 <2e-16 ***
ORIGIN_GRID_ID2071 1.737e+01 3.316e-03 5239.10 <2e-16 ***
ORIGIN_GRID_ID2093 1.652e+01 2.540e-03 6504.17 <2e-16 ***
ORIGIN_GRID_ID2094 1.765e+01 2.759e-03 6396.92 <2e-16 ***
ORIGIN_GRID_ID2095 1.829e+01 3.096e-03 5908.88 <2e-16 ***
ORIGIN_GRID_ID2098 1.651e+01 4.381e-03 3768.02 <2e-16 ***
ORIGIN_GRID_ID2119 1.696e+01 2.848e-03 5953.20 <2e-16 ***
ORIGIN_GRID_ID2120 1.667e+01 3.099e-03 5377.45 <2e-16 ***
ORIGIN_GRID_ID2123 1.717e+01 2.682e-03 6402.10 <2e-16 ***
ORIGIN_GRID_ID2147 1.705e+01 2.542e-03 6708.82 <2e-16 ***
ORIGIN_GRID_ID2148 1.804e+01 2.274e-03 7934.03 <2e-16 ***
ORIGIN_GRID_ID2149 1.720e+01 3.159e-03 5444.45 <2e-16 ***
ORIGIN_GRID_ID2150 1.585e+01 4.419e-03 3585.55 <2e-16 ***
ORIGIN_GRID_ID2151 1.682e+01 3.038e-03 5537.85 <2e-16 ***
ORIGIN_GRID_ID2152 1.774e+01 2.787e-03 6367.30 <2e-16 ***
ORIGIN_GRID_ID2154 1.724e+01 3.362e-03 5128.24 <2e-16 ***
ORIGIN_GRID_ID2174 1.653e+01 4.076e-03 4055.97 <2e-16 ***
ORIGIN_GRID_ID2177 1.851e+01 2.159e-03 8572.52 <2e-16 ***
ORIGIN_GRID_ID2178 1.759e+01 2.346e-03 7499.76 <2e-16 ***
ORIGIN_GRID_ID2179 1.792e+01 2.533e-03 7077.11 <2e-16 ***
ORIGIN_GRID_ID2180 1.775e+01 2.948e-03 6020.26 <2e-16 ***
ORIGIN_GRID_ID2201 1.767e+01 2.454e-03 7198.38 <2e-16 ***
ORIGIN_GRID_ID2203 1.741e+01 3.573e-03 4871.96 <2e-16 ***
ORIGIN_GRID_ID2204 1.635e+01 3.631e-03 4504.20 <2e-16 ***
ORIGIN_GRID_ID2205 1.686e+01 2.523e-03 6682.30 <2e-16 ***
ORIGIN_GRID_ID2206 1.886e+01 2.111e-03 8931.46 <2e-16 ***
ORIGIN_GRID_ID2208 1.835e+01 2.500e-03 7337.88 <2e-16 ***
ORIGIN_GRID_ID2228 1.719e+01 2.648e-03 6493.36 <2e-16 ***
ORIGIN_GRID_ID2231 1.726e+01 2.496e-03 6913.73 <2e-16 ***
ORIGIN_GRID_ID2233 1.882e+01 2.100e-03 8963.47 <2e-16 ***
ORIGIN_GRID_ID2234 1.514e+01 2.498e-02 606.12 <2e-16 ***
ORIGIN_GRID_ID2235 1.507e+01 2.059e-02 731.97 <2e-16 ***
ORIGIN_GRID_ID2254 1.605e+01 8.043e-03 1995.58 <2e-16 ***
ORIGIN_GRID_ID2255 1.747e+01 2.736e-03 6384.26 <2e-16 ***
ORIGIN_GRID_ID2256 1.711e+01 2.764e-03 6187.66 <2e-16 ***
ORIGIN_GRID_ID2257 1.585e+01 1.237e-02 1281.54 <2e-16 ***
ORIGIN_GRID_ID2259 1.608e+01 5.798e-03 2773.91 <2e-16 ***
ORIGIN_GRID_ID2260 1.833e+01 2.236e-03 8196.32 <2e-16 ***
ORIGIN_GRID_ID2261 1.853e+01 2.173e-03 8527.24 <2e-16 ***
ORIGIN_GRID_ID2262 1.750e+01 3.156e-03 5544.43 <2e-16 ***
ORIGIN_GRID_ID2281 1.739e+01 3.361e-03 5173.38 <2e-16 ***
ORIGIN_GRID_ID2282 1.694e+01 3.081e-03 5498.89 <2e-16 ***
ORIGIN_GRID_ID2283 1.759e+01 2.393e-03 7349.48 <2e-16 ***
ORIGIN_GRID_ID2285 1.825e+01 2.258e-03 8080.78 <2e-16 ***
ORIGIN_GRID_ID2286 1.697e+01 3.136e-03 5409.73 <2e-16 ***
ORIGIN_GRID_ID2287 1.882e+01 2.079e-03 9055.02 <2e-16 ***
ORIGIN_GRID_ID2288 1.659e+01 4.825e-03 3437.91 <2e-16 ***
ORIGIN_GRID_ID2310 1.711e+01 2.660e-03 6431.81 <2e-16 ***
ORIGIN_GRID_ID2312 1.524e+01 1.072e-02 1421.69 <2e-16 ***
ORIGIN_GRID_ID2313 1.756e+01 2.401e-03 7315.74 <2e-16 ***
ORIGIN_GRID_ID2314 1.803e+01 2.118e-03 8515.68 <2e-16 ***
ORIGIN_GRID_ID2315 1.740e+01 2.563e-03 6788.84 <2e-16 ***
ORIGIN_GRID_ID2316 1.858e+01 2.105e-03 8827.42 <2e-16 ***
ORIGIN_GRID_ID2335 1.516e+01 1.088e-02 1392.99 <2e-16 ***
ORIGIN_GRID_ID2339 1.743e+01 2.962e-03 5884.16 <2e-16 ***
ORIGIN_GRID_ID2340 1.822e+01 2.182e-03 8352.36 <2e-16 ***
ORIGIN_GRID_ID2341 1.787e+01 2.227e-03 8022.90 <2e-16 ***
ORIGIN_GRID_ID2342 1.729e+01 2.364e-03 7313.33 <2e-16 ***
ORIGIN_GRID_ID2343 1.742e+01 2.801e-03 6221.06 <2e-16 ***
ORIGIN_GRID_ID2363 1.684e+01 3.674e-03 4583.56 <2e-16 ***
ORIGIN_GRID_ID2367 1.729e+01 3.118e-03 5545.73 <2e-16 ***
ORIGIN_GRID_ID2368 1.801e+01 2.338e-03 7705.69 <2e-16 ***
ORIGIN_GRID_ID2369 1.762e+01 2.534e-03 6953.59 <2e-16 ***
ORIGIN_GRID_ID2370 1.805e+01 2.199e-03 8208.97 <2e-16 ***
ORIGIN_GRID_ID2371 1.815e+01 2.316e-03 7833.90 <2e-16 ***
ORIGIN_GRID_ID2390 1.703e+01 3.124e-03 5450.12 <2e-16 ***
ORIGIN_GRID_ID2391 1.703e+01 2.904e-03 5863.10 <2e-16 ***
ORIGIN_GRID_ID2394 1.646e+01 4.680e-03 3517.86 <2e-16 ***
ORIGIN_GRID_ID2395 1.850e+01 2.187e-03 8458.95 <2e-16 ***
ORIGIN_GRID_ID2396 1.808e+01 2.146e-03 8426.02 <2e-16 ***
ORIGIN_GRID_ID2397 1.726e+01 2.827e-03 6106.09 <2e-16 ***
ORIGIN_GRID_ID2398 1.761e+01 2.851e-03 6176.20 <2e-16 ***
ORIGIN_GRID_ID2418 1.709e+01 3.384e-03 5048.84 <2e-16 ***
ORIGIN_GRID_ID2419 1.641e+01 4.299e-03 3817.32 <2e-16 ***
ORIGIN_GRID_ID2422 1.699e+01 6.439e-03 2638.61 <2e-16 ***
ORIGIN_GRID_ID2423 1.738e+01 2.904e-03 5986.82 <2e-16 ***
ORIGIN_GRID_ID2424 1.839e+01 2.107e-03 8725.73 <2e-16 ***
ORIGIN_GRID_ID2425 1.785e+01 2.318e-03 7701.68 <2e-16 ***
ORIGIN_GRID_ID2426 1.718e+01 4.011e-03 4282.66 <2e-16 ***
ORIGIN_GRID_ID2443 1.765e+01 2.675e-03 6599.42 <2e-16 ***
ORIGIN_GRID_ID2445 1.786e+01 2.310e-03 7729.99 <2e-16 ***
ORIGIN_GRID_ID2449 1.804e+01 3.379e-03 5338.48 <2e-16 ***
ORIGIN_GRID_ID2450 1.789e+01 2.438e-03 7338.18 <2e-16 ***
ORIGIN_GRID_ID2451 1.837e+01 2.176e-03 8441.80 <2e-16 ***
ORIGIN_GRID_ID2472 1.565e+01 1.807e-02 866.17 <2e-16 ***
ORIGIN_GRID_ID2473 1.767e+01 2.754e-03 6415.84 <2e-16 ***
ORIGIN_GRID_ID2478 1.749e+01 2.606e-03 6712.70 <2e-16 ***
ORIGIN_GRID_ID2479 1.625e+01 6.093e-03 2667.07 <2e-16 ***
ORIGIN_GRID_ID2497 1.790e+01 2.459e-03 7277.18 <2e-16 ***
ORIGIN_GRID_ID2499 1.815e+01 2.711e-03 6695.08 <2e-16 ***
ORIGIN_GRID_ID2505 1.762e+01 2.722e-03 6474.53 <2e-16 ***
ORIGIN_GRID_ID2527 1.800e+01 2.455e-03 7331.65 <2e-16 ***
ORIGIN_GRID_ID2532 1.766e+01 2.927e-03 6033.32 <2e-16 ***
ORIGIN_GRID_ID2533 1.799e+01 3.378e-03 5324.71 <2e-16 ***
ORIGIN_GRID_ID2551 1.738e+01 3.273e-03 5309.03 <2e-16 ***
ORIGIN_GRID_ID2553 1.747e+01 4.380e-03 3988.90 <2e-16 ***
ORIGIN_GRID_ID2554 1.617e+01 6.478e-03 2496.99 <2e-16 ***
ORIGIN_GRID_ID2559 1.769e+01 3.279e-03 5394.32 <2e-16 ***
ORIGIN_GRID_ID2580 1.803e+01 2.505e-03 7197.32 <2e-16 ***
ORIGIN_GRID_ID2581 1.728e+01 3.956e-03 4367.01 <2e-16 ***
ORIGIN_GRID_ID2607 1.858e+01 2.208e-03 8416.52 <2e-16 ***
ORIGIN_GRID_ID2608 1.694e+01 4.181e-03 4052.51 <2e-16 ***
ORIGIN_GRID_ID2634 1.841e+01 2.339e-03 7871.55 <2e-16 ***
ORIGIN_GRID_ID2635 1.850e+01 2.508e-03 7377.41 <2e-16 ***
ORIGIN_GRID_ID2636 1.794e+01 2.685e-03 6679.21 <2e-16 ***
ORIGIN_GRID_ID2661 1.796e+01 2.363e-03 7598.80 <2e-16 ***
ORIGIN_GRID_ID2663 1.857e+01 2.106e-03 8819.15 <2e-16 ***
ORIGIN_GRID_ID2665 1.761e+01 2.961e-03 5947.04 <2e-16 ***
ORIGIN_GRID_ID2688 1.798e+01 2.437e-03 7379.52 <2e-16 ***
ORIGIN_GRID_ID2689 1.799e+01 2.507e-03 7178.11 <2e-16 ***
ORIGIN_GRID_ID2690 1.703e+01 2.922e-03 5828.27 <2e-16 ***
ORIGIN_GRID_ID2691 1.870e+01 2.140e-03 8739.49 <2e-16 ***
ORIGIN_GRID_ID2693 1.833e+01 2.289e-03 8005.45 <2e-16 ***
ORIGIN_GRID_ID2715 1.850e+01 2.436e-03 7594.19 <2e-16 ***
ORIGIN_GRID_ID2717 1.729e+01 2.371e-03 7291.20 <2e-16 ***
ORIGIN_GRID_ID2718 1.778e+01 2.872e-03 6189.82 <2e-16 ***
ORIGIN_GRID_ID2719 1.862e+01 2.080e-03 8949.10 <2e-16 ***
ORIGIN_GRID_ID2742 1.778e+01 2.795e-03 6361.24 <2e-16 ***
ORIGIN_GRID_ID2743 1.679e+01 5.284e-03 3177.98 <2e-16 ***
ORIGIN_GRID_ID2744 1.758e+01 2.429e-03 7239.01 <2e-16 ***
ORIGIN_GRID_ID2745 1.752e+01 2.328e-03 7525.71 <2e-16 ***
ORIGIN_GRID_ID2747 1.753e+01 2.718e-03 6449.54 <2e-16 ***
ORIGIN_GRID_ID2768 1.813e+01 2.666e-03 6798.27 <2e-16 ***
ORIGIN_GRID_ID2771 1.824e+01 2.181e-03 8365.61 <2e-16 ***
ORIGIN_GRID_ID2773 1.788e+01 2.364e-03 7563.01 <2e-16 ***
ORIGIN_GRID_ID2798 1.703e+01 3.228e-03 5274.09 <2e-16 ***
ORIGIN_GRID_ID2799 1.775e+01 2.239e-03 7928.69 <2e-16 ***
ORIGIN_GRID_ID2800 1.780e+01 2.412e-03 7380.41 <2e-16 ***
ORIGIN_GRID_ID2824 1.708e+01 3.176e-03 5376.44 <2e-16 ***
ORIGIN_GRID_ID2825 1.783e+01 2.187e-03 8149.71 <2e-16 ***
ORIGIN_GRID_ID2826 1.791e+01 2.625e-03 6821.38 <2e-16 ***
ORIGIN_GRID_ID2827 1.813e+01 2.315e-03 7833.34 <2e-16 ***
ORIGIN_GRID_ID2852 1.806e+01 2.393e-03 7547.65 <2e-16 ***
ORIGIN_GRID_ID2853 1.800e+01 2.145e-03 8393.81 <2e-16 ***
ORIGIN_GRID_ID2854 1.851e+01 2.154e-03 8595.94 <2e-16 ***
ORIGIN_GRID_ID2878 1.741e+01 3.104e-03 5610.16 <2e-16 ***
ORIGIN_GRID_ID2879 1.773e+01 2.457e-03 7216.67 <2e-16 ***
ORIGIN_GRID_ID2880 1.772e+01 2.441e-03 7259.03 <2e-16 ***
ORIGIN_GRID_ID2881 1.901e+01 2.190e-03 8681.04 <2e-16 ***
ORIGIN_GRID_ID2907 1.777e+01 2.743e-03 6476.82 <2e-16 ***
ORIGIN_GRID_ID2908 1.820e+01 2.395e-03 7599.41 <2e-16 ***
ORIGIN_GRID_ID2933 1.590e+01 8.024e-03 1982.25 <2e-16 ***
ORIGIN_GRID_ID2934 1.748e+01 2.882e-03 6065.67 <2e-16 ***
ORIGIN_GRID_ID3098 1.721e+01 5.578e-03 3086.26 <2e-16 ***
log(TDESTIN_BIZ_COUNT) 3.714e-02 1.032e-04 360.06 <2e-16 ***
log(TDESTIN_FINSERV_COUNT) 2.415e-01 1.043e-04 2314.64 <2e-16 ***
log(TDESTIN_MRTEXIT_COUNT) 6.321e-01 1.524e-04 4146.40 <2e-16 ***
log(TDESTIN_BUSSTOP_COUNT) 1.151e-01 2.510e-04 458.74 <2e-16 ***
log(TDESTIN_HDBCOMMERCIAL_COUNT) 1.316e-01 1.976e-04 666.01 <2e-16 ***
log(TDESTIN_HDBRESIDENTIAL_COUNT) 7.599e-02 4.512e-04 168.44 <2e-16 ***
log(TDESTIN_HDBCOMM_UNITS) 1.924e-03 7.369e-05 26.11 <2e-16 ***
log(TDESTIN_HDBRES_UNITS) -1.395e-01 3.804e-04 -366.83 <2e-16 ***
log(TDESTIN_SCHOOLS_COUNT) 3.128e-01 2.284e-04 1369.52 <2e-16 ***
log(DISTANCE) -1.462e+00 1.270e-04 -11511.35 <2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(Dispersion parameter for poisson family taken to be 1)
Null deviance: 2876477793 on 101668 degrees of freedom
Residual deviance: 148889900 on 101310 degrees of freedom
AIC: 149648225
Number of Fisher Scoring iterations: 6CalcRSquared(orcSIM_Poisson3$data$TRIPS, orcSIM_Poisson3$fitted.values)[1] 0.6220317decSIM_Poisson3 <- glm(formula = TRIPS ~
DESTIN_GRID_ID +
log(TORIGIN_BIZ_COUNT) +
log(TORIGIN_FINSERV_COUNT) +
log(TORIGIN_MRTEXIT_COUNT) +
log(TORIGIN_BUSSTOP_COUNT) +
log(TORIGIN_HDBCOMMERCIAL_COUNT) +
log(TORIGIN_HDBRESIDENTIAL_COUNT) +
log(TORIGIN_HDBCOMM_UNITS) +
log(TORIGIN_HDBRES_UNITS) +
log(TORIGIN_SCHOOLS_COUNT) +
log(DISTANCE) - 1,
family = poisson(link = "log"),
data = inter_zonal_flow1,
na.action = na.exclude)
summary(decSIM_Poisson3)
Call:
glm(formula = TRIPS ~ DESTIN_GRID_ID + log(TORIGIN_BIZ_COUNT) +
log(TORIGIN_FINSERV_COUNT) + log(TORIGIN_MRTEXIT_COUNT) +
log(TORIGIN_BUSSTOP_COUNT) + log(TORIGIN_HDBCOMMERCIAL_COUNT) +
log(TORIGIN_HDBRESIDENTIAL_COUNT) + log(TORIGIN_HDBCOMM_UNITS) +
log(TORIGIN_HDBRES_UNITS) + log(TORIGIN_SCHOOLS_COUNT) +
log(DISTANCE) - 1, family = poisson(link = "log"), data = inter_zonal_flow1,
na.action = na.exclude)
Coefficients:
Estimate Std. Error z value Pr(>|z|)
DESTIN_GRID_ID664 1.472e+01 4.831e-03 3047.43 <2e-16 ***
DESTIN_GRID_ID718 1.455e+01 2.483e-03 5860.99 <2e-16 ***
DESTIN_GRID_ID745 1.296e+01 3.430e-03 3779.63 <2e-16 ***
DESTIN_GRID_ID746 1.382e+01 2.822e-03 4897.48 <2e-16 ***
DESTIN_GRID_ID772 1.501e+01 2.205e-03 6805.63 <2e-16 ***
DESTIN_GRID_ID799 1.507e+01 2.389e-03 6308.49 <2e-16 ***
DESTIN_GRID_ID800 1.390e+01 2.472e-03 5624.59 <2e-16 ***
DESTIN_GRID_ID826 1.587e+01 2.211e-03 7178.81 <2e-16 ***
DESTIN_GRID_ID827 1.478e+01 2.626e-03 5629.81 <2e-16 ***
DESTIN_GRID_ID854 1.361e+01 3.027e-03 4496.23 <2e-16 ***
DESTIN_GRID_ID880 1.306e+01 3.924e-03 3329.30 <2e-16 ***
DESTIN_GRID_ID881 1.361e+01 3.913e-03 3478.30 <2e-16 ***
DESTIN_GRID_ID908 1.399e+01 2.606e-03 5368.77 <2e-16 ***
DESTIN_GRID_ID934 1.436e+01 2.543e-03 5646.62 <2e-16 ***
DESTIN_GRID_ID935 1.403e+01 2.763e-03 5077.72 <2e-16 ***
DESTIN_GRID_ID961 1.391e+01 2.944e-03 4725.05 <2e-16 ***
DESTIN_GRID_ID962 1.599e+01 2.190e-03 7303.99 <2e-16 ***
DESTIN_GRID_ID987 1.498e+01 2.400e-03 6239.43 <2e-16 ***
DESTIN_GRID_ID988 1.305e+01 3.771e-03 3460.94 <2e-16 ***
DESTIN_GRID_ID989 1.418e+01 2.624e-03 5403.99 <2e-16 ***
DESTIN_GRID_ID1015 1.173e+01 8.636e-03 1358.18 <2e-16 ***
DESTIN_GRID_ID1016 1.333e+01 3.060e-03 4355.04 <2e-16 ***
DESTIN_GRID_ID1043 1.396e+01 3.439e-03 4058.47 <2e-16 ***
DESTIN_GRID_ID1068 1.204e+01 2.072e-02 581.44 <2e-16 ***
DESTIN_GRID_ID1070 1.425e+01 2.512e-03 5674.74 <2e-16 ***
DESTIN_GRID_ID1096 1.384e+01 2.653e-03 5218.45 <2e-16 ***
DESTIN_GRID_ID1097 1.346e+01 3.366e-03 3998.17 <2e-16 ***
DESTIN_GRID_ID1099 1.410e+01 2.603e-03 5418.39 <2e-16 ***
DESTIN_GRID_ID1122 1.459e+01 2.940e-03 4961.29 <2e-16 ***
DESTIN_GRID_ID1123 1.557e+01 2.226e-03 6993.82 <2e-16 ***
DESTIN_GRID_ID1124 1.413e+01 2.640e-03 5352.84 <2e-16 ***
DESTIN_GRID_ID1125 1.345e+01 3.347e-03 4017.24 <2e-16 ***
DESTIN_GRID_ID1127 1.363e+01 2.778e-03 4905.41 <2e-16 ***
DESTIN_GRID_ID1128 1.431e+01 3.116e-03 4591.55 <2e-16 ***
DESTIN_GRID_ID1148 1.375e+01 3.554e-03 3869.48 <2e-16 ***
DESTIN_GRID_ID1150 1.418e+01 2.565e-03 5530.11 <2e-16 ***
DESTIN_GRID_ID1151 1.364e+01 2.811e-03 4851.60 <2e-16 ***
DESTIN_GRID_ID1152 1.334e+01 3.837e-03 3476.89 <2e-16 ***
DESTIN_GRID_ID1153 1.401e+01 2.669e-03 5250.36 <2e-16 ***
DESTIN_GRID_ID1154 1.568e+01 2.198e-03 7132.79 <2e-16 ***
DESTIN_GRID_ID1155 1.102e+01 1.733e-02 635.80 <2e-16 ***
DESTIN_GRID_ID1176 1.467e+01 2.573e-03 5701.44 <2e-16 ***
DESTIN_GRID_ID1178 1.357e+01 2.736e-03 4959.05 <2e-16 ***
DESTIN_GRID_ID1179 1.279e+01 3.644e-03 3509.86 <2e-16 ***
DESTIN_GRID_ID1180 1.126e+01 1.032e-02 1090.92 <2e-16 ***
DESTIN_GRID_ID1181 1.437e+01 2.385e-03 6025.53 <2e-16 ***
DESTIN_GRID_ID1182 1.389e+01 2.789e-03 4978.66 <2e-16 ***
DESTIN_GRID_ID1183 1.376e+01 5.276e-03 2609.03 <2e-16 ***
DESTIN_GRID_ID1205 1.518e+01 2.247e-03 6757.42 <2e-16 ***
DESTIN_GRID_ID1206 1.398e+01 2.795e-03 5002.40 <2e-16 ***
DESTIN_GRID_ID1207 1.379e+01 2.949e-03 4676.24 <2e-16 ***
DESTIN_GRID_ID1209 1.542e+01 2.299e-03 6705.31 <2e-16 ***
DESTIN_GRID_ID1232 1.440e+01 2.450e-03 5876.24 <2e-16 ***
DESTIN_GRID_ID1233 1.499e+01 2.681e-03 5591.87 <2e-16 ***
DESTIN_GRID_ID1235 1.473e+01 2.474e-03 5954.16 <2e-16 ***
DESTIN_GRID_ID1255 1.478e+01 5.879e-03 2514.72 <2e-16 ***
DESTIN_GRID_ID1258 1.514e+01 2.560e-03 5914.91 <2e-16 ***
DESTIN_GRID_ID1259 1.364e+01 3.146e-03 4334.64 <2e-16 ***
DESTIN_GRID_ID1261 1.351e+01 2.954e-03 4573.93 <2e-16 ***
DESTIN_GRID_ID1262 1.398e+01 2.660e-03 5258.14 <2e-16 ***
DESTIN_GRID_ID1283 1.379e+01 3.221e-03 4281.81 <2e-16 ***
DESTIN_GRID_ID1284 1.336e+01 4.948e-03 2700.72 <2e-16 ***
DESTIN_GRID_ID1286 1.273e+01 4.822e-03 2639.51 <2e-16 ***
DESTIN_GRID_ID1289 1.447e+01 2.332e-03 6202.04 <2e-16 ***
DESTIN_GRID_ID1309 1.497e+01 2.709e-03 5524.41 <2e-16 ***
DESTIN_GRID_ID1310 1.564e+01 2.287e-03 6839.88 <2e-16 ***
DESTIN_GRID_ID1315 1.522e+01 2.264e-03 6723.19 <2e-16 ***
DESTIN_GRID_ID1316 1.298e+01 4.029e-03 3221.47 <2e-16 ***
DESTIN_GRID_ID1337 1.396e+01 2.726e-03 5120.28 <2e-16 ***
DESTIN_GRID_ID1338 1.320e+01 6.056e-03 2179.84 <2e-16 ***
DESTIN_GRID_ID1343 1.299e+01 3.303e-03 3932.48 <2e-16 ***
DESTIN_GRID_ID1363 1.473e+01 2.972e-03 4954.37 <2e-16 ***
DESTIN_GRID_ID1364 1.351e+01 3.423e-03 3945.30 <2e-16 ***
DESTIN_GRID_ID1366 1.391e+01 3.272e-03 4250.67 <2e-16 ***
DESTIN_GRID_ID1369 1.407e+01 2.672e-03 5264.89 <2e-16 ***
DESTIN_GRID_ID1370 1.390e+01 2.857e-03 4864.85 <2e-16 ***
DESTIN_GRID_ID1374 1.326e+01 3.560e-03 3726.22 <2e-16 ***
DESTIN_GRID_ID1375 1.368e+01 5.840e-03 2343.10 <2e-16 ***
DESTIN_GRID_ID1391 1.360e+01 4.328e-03 3142.36 <2e-16 ***
DESTIN_GRID_ID1392 1.247e+01 6.737e-03 1850.66 <2e-16 ***
DESTIN_GRID_ID1396 1.232e+01 8.428e-03 1462.01 <2e-16 ***
DESTIN_GRID_ID1397 1.351e+01 3.052e-03 4426.33 <2e-16 ***
DESTIN_GRID_ID1401 1.509e+01 2.374e-03 6355.58 <2e-16 ***
DESTIN_GRID_ID1402 1.416e+01 2.611e-03 5423.21 <2e-16 ***
DESTIN_GRID_ID1423 1.362e+01 4.547e-03 2994.49 <2e-16 ***
DESTIN_GRID_ID1428 1.357e+01 3.090e-03 4392.77 <2e-16 ***
DESTIN_GRID_ID1429 1.425e+01 3.292e-03 4327.65 <2e-16 ***
DESTIN_GRID_ID1455 1.344e+01 3.124e-03 4301.35 <2e-16 ***
DESTIN_GRID_ID1456 1.371e+01 2.970e-03 4615.69 <2e-16 ***
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DESTIN_GRID_ID2768 1.400e+01 3.092e-03 4529.38 <2e-16 ***
DESTIN_GRID_ID2771 1.576e+01 2.163e-03 7285.37 <2e-16 ***
DESTIN_GRID_ID2773 1.315e+01 3.083e-03 4265.89 <2e-16 ***
DESTIN_GRID_ID2798 1.250e+01 4.668e-03 2677.38 <2e-16 ***
DESTIN_GRID_ID2799 1.341e+01 2.747e-03 4880.08 <2e-16 ***
DESTIN_GRID_ID2800 1.501e+01 2.201e-03 6820.98 <2e-16 ***
DESTIN_GRID_ID2824 1.482e+01 2.476e-03 5985.30 <2e-16 ***
DESTIN_GRID_ID2825 1.378e+01 2.468e-03 5583.94 <2e-16 ***
DESTIN_GRID_ID2826 1.317e+01 3.662e-03 3595.12 <2e-16 ***
DESTIN_GRID_ID2827 1.559e+01 2.151e-03 7250.25 <2e-16 ***
DESTIN_GRID_ID2852 1.331e+01 3.559e-03 3738.85 <2e-16 ***
DESTIN_GRID_ID2853 1.476e+01 2.195e-03 6725.25 <2e-16 ***
DESTIN_GRID_ID2854 1.410e+01 2.507e-03 5623.08 <2e-16 ***
DESTIN_GRID_ID2878 1.343e+01 3.494e-03 3844.78 <2e-16 ***
DESTIN_GRID_ID2879 1.354e+01 2.906e-03 4657.30 <2e-16 ***
DESTIN_GRID_ID2880 1.293e+01 3.445e-03 3753.47 <2e-16 ***
DESTIN_GRID_ID2881 1.387e+01 3.063e-03 4528.72 <2e-16 ***
DESTIN_GRID_ID2907 1.290e+01 4.410e-03 2924.31 <2e-16 ***
DESTIN_GRID_ID2908 1.417e+01 2.593e-03 5464.74 <2e-16 ***
DESTIN_GRID_ID2933 1.492e+01 3.116e-03 4788.55 <2e-16 ***
DESTIN_GRID_ID2934 1.332e+01 3.334e-03 3996.79 <2e-16 ***
DESTIN_GRID_ID3098 1.438e+01 3.706e-03 3880.32 <2e-16 ***
log(TORIGIN_BIZ_COUNT) 1.206e-03 9.953e-05 12.12 <2e-16 ***
log(TORIGIN_FINSERV_COUNT) 7.748e-02 9.587e-05 808.23 <2e-16 ***
log(TORIGIN_MRTEXIT_COUNT) 5.136e-02 1.625e-04 316.01 <2e-16 ***
log(TORIGIN_BUSSTOP_COUNT) 2.086e-01 2.505e-04 832.58 <2e-16 ***
log(TORIGIN_HDBCOMMERCIAL_COUNT) -3.287e-02 1.915e-04 -171.67 <2e-16 ***
log(TORIGIN_HDBRESIDENTIAL_COUNT) 1.956e-01 4.300e-04 454.86 <2e-16 ***
log(TORIGIN_HDBCOMM_UNITS) 1.508e-03 7.013e-05 21.50 <2e-16 ***
log(TORIGIN_HDBRES_UNITS) 2.734e-01 3.809e-04 717.92 <2e-16 ***
log(TORIGIN_SCHOOLS_COUNT) 1.248e-01 2.222e-04 561.90 <2e-16 ***
log(DISTANCE) -1.379e+00 1.216e-04 -11336.97 <2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(Dispersion parameter for poisson family taken to be 1)
Null deviance: 2876477793 on 101668 degrees of freedom
Residual deviance: 138233568 on 101310 degrees of freedom
AIC: 138991893
Number of Fisher Scoring iterations: 6CalcRSquared(decSIM_Poisson3$data$TRIPS, decSIM_Poisson3$fitted.values)[1] 0.5688128dbcSIM_Poisson2 <- glm(formula = TRIPS ~
ORIGIN_GRID_ID +
DESTIN_GRID_ID +
log(DISTANCE),
family = poisson(link = "log"),
data = inter_zonal_flow1,
na.action = na.exclude)
summary(dbcSIM_Poisson2)
Call:
glm(formula = TRIPS ~ ORIGIN_GRID_ID + DESTIN_GRID_ID + log(DISTANCE),
family = poisson(link = "log"), data = inter_zonal_flow1,
na.action = na.exclude)
Coefficients:
Estimate Std. Error z value Pr(>|z|)
(Intercept) 16.0149770 0.0236172 678.108 < 2e-16 ***
ORIGIN_GRID_ID718 4.2374331 0.0232019 182.633 < 2e-16 ***
ORIGIN_GRID_ID745 1.7177165 0.0233092 73.693 < 2e-16 ***
ORIGIN_GRID_ID746 3.7772233 0.0232067 162.765 < 2e-16 ***
ORIGIN_GRID_ID772 3.1528957 0.0232007 135.896 < 2e-16 ***
ORIGIN_GRID_ID799 2.5680980 0.0232738 110.343 < 2e-16 ***
ORIGIN_GRID_ID800 2.7238777 0.0232406 117.203 < 2e-16 ***
ORIGIN_GRID_ID826 3.8631518 0.0231983 166.528 < 2e-16 ***
ORIGIN_GRID_ID827 3.7030748 0.0232157 159.507 < 2e-16 ***
ORIGIN_GRID_ID854 2.5137965 0.0232560 108.092 < 2e-16 ***
ORIGIN_GRID_ID880 1.7505642 0.0233329 75.026 < 2e-16 ***
ORIGIN_GRID_ID881 1.1233549 0.0239383 46.927 < 2e-16 ***
ORIGIN_GRID_ID908 3.4343339 0.0232101 147.967 < 2e-16 ***
ORIGIN_GRID_ID934 2.0601753 0.0232816 88.490 < 2e-16 ***
ORIGIN_GRID_ID935 2.7622437 0.0232318 118.899 < 2e-16 ***
ORIGIN_GRID_ID961 3.1093858 0.0232333 133.833 < 2e-16 ***
ORIGIN_GRID_ID962 3.8046508 0.0232199 163.853 < 2e-16 ***
ORIGIN_GRID_ID987 3.9418662 0.0232158 169.792 < 2e-16 ***
ORIGIN_GRID_ID988 2.1007647 0.0232868 90.213 < 2e-16 ***
ORIGIN_GRID_ID989 3.3059440 0.0232161 142.399 < 2e-16 ***
ORIGIN_GRID_ID1015 2.0448177 0.0233612 87.531 < 2e-16 ***
ORIGIN_GRID_ID1016 2.1963105 0.0232495 94.467 < 2e-16 ***
ORIGIN_GRID_ID1043 2.7269032 0.0233235 116.917 < 2e-16 ***
ORIGIN_GRID_ID1068 0.0127083 0.0300513 0.423 0.672379
ORIGIN_GRID_ID1070 3.0459129 0.0232317 131.110 < 2e-16 ***
ORIGIN_GRID_ID1096 2.5449724 0.0232415 109.501 < 2e-16 ***
ORIGIN_GRID_ID1097 2.5172001 0.0233135 107.972 < 2e-16 ***
ORIGIN_GRID_ID1099 4.5304786 0.0232346 194.988 < 2e-16 ***
ORIGIN_GRID_ID1122 3.4070331 0.0232338 146.641 < 2e-16 ***
ORIGIN_GRID_ID1123 3.0791971 0.0232237 132.588 < 2e-16 ***
ORIGIN_GRID_ID1124 2.6985473 0.0232658 115.988 < 2e-16 ***
ORIGIN_GRID_ID1125 3.3782856 0.0232584 145.250 < 2e-16 ***
ORIGIN_GRID_ID1127 3.6355877 0.0232456 156.399 < 2e-16 ***
ORIGIN_GRID_ID1128 3.3738345 0.0232811 144.917 < 2e-16 ***
ORIGIN_GRID_ID1148 1.7808549 0.0233494 76.270 < 2e-16 ***
ORIGIN_GRID_ID1150 3.5036394 0.0232182 150.900 < 2e-16 ***
ORIGIN_GRID_ID1151 2.9293391 0.0232440 126.026 < 2e-16 ***
ORIGIN_GRID_ID1152 3.3337253 0.0232749 143.232 < 2e-16 ***
ORIGIN_GRID_ID1153 4.1850194 0.0232528 179.979 < 2e-16 ***
ORIGIN_GRID_ID1154 4.0324047 0.0232408 173.505 < 2e-16 ***
ORIGIN_GRID_ID1155 0.8329148 0.0254096 32.780 < 2e-16 ***
ORIGIN_GRID_ID1176 2.2023789 0.0232945 94.545 < 2e-16 ***
ORIGIN_GRID_ID1178 2.4134450 0.0232508 103.801 < 2e-16 ***
ORIGIN_GRID_ID1179 2.2272609 0.0232894 95.634 < 2e-16 ***
ORIGIN_GRID_ID1180 1.5178406 0.0238108 63.746 < 2e-16 ***
ORIGIN_GRID_ID1181 2.8077037 0.0232575 120.722 < 2e-16 ***
ORIGIN_GRID_ID1182 3.2430838 0.0232526 139.472 < 2e-16 ***
ORIGIN_GRID_ID1183 3.6419620 0.0233135 156.217 < 2e-16 ***
ORIGIN_GRID_ID1205 3.6531715 0.0232254 157.292 < 2e-16 ***
ORIGIN_GRID_ID1206 2.7633210 0.0232710 118.745 < 2e-16 ***
ORIGIN_GRID_ID1207 2.6669612 0.0233298 114.316 < 2e-16 ***
ORIGIN_GRID_ID1209 3.3799559 0.0232803 145.185 < 2e-16 ***
ORIGIN_GRID_ID1232 3.0251973 0.0232307 130.224 < 2e-16 ***
ORIGIN_GRID_ID1233 2.5940501 0.0233486 111.101 < 2e-16 ***
ORIGIN_GRID_ID1235 3.5529756 0.0232691 152.691 < 2e-16 ***
ORIGIN_GRID_ID1255 1.6828152 0.0254913 66.015 < 2e-16 ***
ORIGIN_GRID_ID1258 2.3942081 0.0233555 102.511 < 2e-16 ***
ORIGIN_GRID_ID1259 2.6965333 0.0232589 115.936 < 2e-16 ***
ORIGIN_GRID_ID1261 2.6107930 0.0232720 112.186 < 2e-16 ***
ORIGIN_GRID_ID1262 3.5474568 0.0232442 152.617 < 2e-16 ***
ORIGIN_GRID_ID1283 1.8093147 0.0233245 77.572 < 2e-16 ***
ORIGIN_GRID_ID1284 2.2200647 0.0233432 95.105 < 2e-16 ***
ORIGIN_GRID_ID1286 2.0193336 0.0234700 86.039 < 2e-16 ***
ORIGIN_GRID_ID1289 2.6865051 0.0232595 115.502 < 2e-16 ***
ORIGIN_GRID_ID1309 3.5925055 0.0232435 154.560 < 2e-16 ***
ORIGIN_GRID_ID1310 3.6110537 0.0232299 155.449 < 2e-16 ***
ORIGIN_GRID_ID1315 3.1251367 0.0232466 134.434 < 2e-16 ***
ORIGIN_GRID_ID1316 2.0120160 0.0234120 85.939 < 2e-16 ***
ORIGIN_GRID_ID1337 2.4961055 0.0232409 107.401 < 2e-16 ***
ORIGIN_GRID_ID1338 2.1845365 0.0237567 91.954 < 2e-16 ***
ORIGIN_GRID_ID1343 2.5068606 0.0232860 107.655 < 2e-16 ***
ORIGIN_GRID_ID1363 2.0465761 0.0233969 87.472 < 2e-16 ***
ORIGIN_GRID_ID1364 1.9038327 0.0232970 81.720 < 2e-16 ***
ORIGIN_GRID_ID1366 2.5300134 0.0233325 108.433 < 2e-16 ***
ORIGIN_GRID_ID1369 3.2543288 0.0232437 140.009 < 2e-16 ***
ORIGIN_GRID_ID1370 3.7683442 0.0232648 161.976 < 2e-16 ***
ORIGIN_GRID_ID1374 1.6501740 0.0233944 70.537 < 2e-16 ***
ORIGIN_GRID_ID1375 3.0981802 0.0234482 132.129 < 2e-16 ***
ORIGIN_GRID_ID1391 1.0259293 0.0236701 43.343 < 2e-16 ***
ORIGIN_GRID_ID1392 1.6400193 0.0234996 69.789 < 2e-16 ***
ORIGIN_GRID_ID1396 1.7948883 0.0239491 74.946 < 2e-16 ***
ORIGIN_GRID_ID1397 2.3217951 0.0233672 99.361 < 2e-16 ***
ORIGIN_GRID_ID1401 3.1377140 0.0233003 134.664 < 2e-16 ***
ORIGIN_GRID_ID1402 3.4013733 0.0232696 146.172 < 2e-16 ***
ORIGIN_GRID_ID1423 4.2393603 0.0239261 177.186 < 2e-16 ***
ORIGIN_GRID_ID1428 2.7242626 0.0232945 116.949 < 2e-16 ***
ORIGIN_GRID_ID1429 2.2489925 0.0234321 95.979 < 2e-16 ***
ORIGIN_GRID_ID1455 1.5069586 0.0233766 64.464 < 2e-16 ***
ORIGIN_GRID_ID1456 2.6558669 0.0232795 114.086 < 2e-16 ***
ORIGIN_GRID_ID1471 2.8108350 0.0232836 120.722 < 2e-16 ***
ORIGIN_GRID_ID1482 2.2999453 0.0232891 98.756 < 2e-16 ***
ORIGIN_GRID_ID1499 2.8701723 0.0232898 123.237 < 2e-16 ***
ORIGIN_GRID_ID1509 1.9422356 0.0234691 82.757 < 2e-16 ***
ORIGIN_GRID_ID1510 3.7770459 0.0232583 162.396 < 2e-16 ***
ORIGIN_GRID_ID1525 2.5292377 0.0232898 108.599 < 2e-16 ***
ORIGIN_GRID_ID1536 2.4443707 0.0232805 104.996 < 2e-16 ***
ORIGIN_GRID_ID1537 1.5143837 0.0234955 64.454 < 2e-16 ***
ORIGIN_GRID_ID1552 -0.7937246 0.0272336 -29.145 < 2e-16 ***
ORIGIN_GRID_ID1553 1.4529853 0.0233790 62.149 < 2e-16 ***
ORIGIN_GRID_ID1563 2.1306411 0.0234369 90.910 < 2e-16 ***
ORIGIN_GRID_ID1564 3.1751937 0.0232587 136.516 < 2e-16 ***
ORIGIN_GRID_ID1578 0.3956795 0.0242677 16.305 < 2e-16 ***
ORIGIN_GRID_ID1579 2.9757387 0.0232761 127.845 < 2e-16 ***
ORIGIN_GRID_ID1590 3.2476702 0.0232652 139.594 < 2e-16 ***
ORIGIN_GRID_ID1591 3.2713360 0.0232692 140.587 < 2e-16 ***
ORIGIN_GRID_ID1605 1.7237286 0.0233498 73.822 < 2e-16 ***
ORIGIN_GRID_ID1606 1.5239502 0.0233515 65.261 < 2e-16 ***
ORIGIN_GRID_ID1617 1.6689658 0.0239212 69.769 < 2e-16 ***
ORIGIN_GRID_ID1618 3.2077108 0.0232703 137.846 < 2e-16 ***
ORIGIN_GRID_ID1631 0.6641488 0.0237522 27.962 < 2e-16 ***
ORIGIN_GRID_ID1632 2.0533925 0.0232881 88.174 < 2e-16 ***
ORIGIN_GRID_ID1634 2.3635486 0.0234766 100.677 < 2e-16 ***
ORIGIN_GRID_ID1644 2.1341272 0.0233494 91.400 < 2e-16 ***
ORIGIN_GRID_ID1645 3.1106927 0.0232706 133.675 < 2e-16 ***
ORIGIN_GRID_ID1658 2.3146303 0.0233092 99.301 < 2e-16 ***
ORIGIN_GRID_ID1659 2.0424339 0.0232862 87.710 < 2e-16 ***
ORIGIN_GRID_ID1672 1.7852110 0.0234545 76.114 < 2e-16 ***
ORIGIN_GRID_ID1684 2.2383183 0.0233248 95.963 < 2e-16 ***
ORIGIN_GRID_ID1685 1.1533235 0.0234531 49.176 < 2e-16 ***
ORIGIN_GRID_ID1686 2.0762219 0.0233013 89.103 < 2e-16 ***
ORIGIN_GRID_ID1688 -0.2714157 0.0284494 -9.540 < 2e-16 ***
ORIGIN_GRID_ID1699 1.5754556 0.0233565 67.453 < 2e-16 ***
ORIGIN_GRID_ID1700 -0.6301176 0.0323018 -19.507 < 2e-16 ***
ORIGIN_GRID_ID1712 1.1407227 0.0234617 48.621 < 2e-16 ***
ORIGIN_GRID_ID1713 2.5334514 0.0232520 108.956 < 2e-16 ***
ORIGIN_GRID_ID1727 3.7062865 0.0232631 159.320 < 2e-16 ***
ORIGIN_GRID_ID1739 1.6988626 0.0232910 72.941 < 2e-16 ***
ORIGIN_GRID_ID1753 3.2504562 0.0232713 139.677 < 2e-16 ***
ORIGIN_GRID_ID1754 2.6075455 0.0233549 111.649 < 2e-16 ***
ORIGIN_GRID_ID1766 2.5804690 0.0232529 110.974 < 2e-16 ***
ORIGIN_GRID_ID1767 2.1395028 0.0232521 92.013 < 2e-16 ***
ORIGIN_GRID_ID1780 0.7608302 0.0239269 31.798 < 2e-16 ***
ORIGIN_GRID_ID1781 2.5968141 0.0232856 111.520 < 2e-16 ***
ORIGIN_GRID_ID1792 1.6842509 0.0233269 72.202 < 2e-16 ***
ORIGIN_GRID_ID1793 2.2113515 0.0232524 95.102 < 2e-16 ***
ORIGIN_GRID_ID1794 0.9099700 0.0234665 38.777 < 2e-16 ***
ORIGIN_GRID_ID1807 2.1569039 0.0233043 92.554 < 2e-16 ***
ORIGIN_GRID_ID1820 1.7129476 0.0233359 73.404 < 2e-16 ***
ORIGIN_GRID_ID1821 3.0787757 0.0232443 132.453 < 2e-16 ***
ORIGIN_GRID_ID1833 3.0769102 0.0232592 132.288 < 2e-16 ***
ORIGIN_GRID_ID1835 2.6942829 0.0233304 115.484 < 2e-16 ***
ORIGIN_GRID_ID1847 1.4678131 0.0235090 62.436 < 2e-16 ***
ORIGIN_GRID_ID1854 1.3307813 0.0238716 55.747 < 2e-16 ***
ORIGIN_GRID_ID1859 1.9823643 0.0232830 85.142 < 2e-16 ***
ORIGIN_GRID_ID1860 2.4625041 0.0232759 105.796 < 2e-16 ***
ORIGIN_GRID_ID1861 3.2960872 0.0232893 141.528 < 2e-16 ***
ORIGIN_GRID_ID1874 1.5642303 0.0233613 66.958 < 2e-16 ***
ORIGIN_GRID_ID1875 1.6484592 0.0232756 70.823 < 2e-16 ***
ORIGIN_GRID_ID1882 2.7301688 0.0232820 117.265 < 2e-16 ***
ORIGIN_GRID_ID1883 2.1518690 0.0234269 91.855 < 2e-16 ***
ORIGIN_GRID_ID1886 3.3953799 0.0232625 145.960 < 2e-16 ***
ORIGIN_GRID_ID1887 3.1968976 0.0232604 137.440 < 2e-16 ***
ORIGIN_GRID_ID1888 2.3046974 0.0233489 98.707 < 2e-16 ***
ORIGIN_GRID_ID1905 0.6335917 0.0236412 26.800 < 2e-16 ***
ORIGIN_GRID_ID1907 2.2039440 0.0233389 94.432 < 2e-16 ***
ORIGIN_GRID_ID1908 1.4942335 0.0234535 63.711 < 2e-16 ***
ORIGIN_GRID_ID1909 2.8658502 0.0232692 123.161 < 2e-16 ***
ORIGIN_GRID_ID1912 0.6256185 0.0247297 25.298 < 2e-16 ***
ORIGIN_GRID_ID1913 1.9434207 0.0233136 83.360 < 2e-16 ***
ORIGIN_GRID_ID1914 3.5955621 0.0232614 154.572 < 2e-16 ***
ORIGIN_GRID_ID1928 1.2061096 0.0233833 51.580 < 2e-16 ***
ORIGIN_GRID_ID1929 1.0510832 0.0235492 44.633 < 2e-16 ***
ORIGIN_GRID_ID1933 1.7634726 0.0233810 75.423 < 2e-16 ***
ORIGIN_GRID_ID1935 2.1105697 0.0233362 90.442 < 2e-16 ***
ORIGIN_GRID_ID1936 2.5310444 0.0232854 108.697 < 2e-16 ***
ORIGIN_GRID_ID1937 1.9722949 0.0233603 84.429 < 2e-16 ***
ORIGIN_GRID_ID1940 2.8865266 0.0233138 123.812 < 2e-16 ***
ORIGIN_GRID_ID1941 2.7504713 0.0232870 118.112 < 2e-16 ***
ORIGIN_GRID_ID1942 2.3448579 0.0235959 99.376 < 2e-16 ***
ORIGIN_GRID_ID1955 2.5597525 0.0232727 109.990 < 2e-16 ***
ORIGIN_GRID_ID1959 2.3744610 0.0232708 102.036 < 2e-16 ***
ORIGIN_GRID_ID1960 2.5826144 0.0232680 110.994 < 2e-16 ***
ORIGIN_GRID_ID1962 2.2577861 0.0232883 96.949 < 2e-16 ***
ORIGIN_GRID_ID1963 1.4401387 0.0233116 61.778 < 2e-16 ***
ORIGIN_GRID_ID1967 4.0289748 0.0232606 173.210 < 2e-16 ***
ORIGIN_GRID_ID1968 4.0580434 0.0232705 174.386 < 2e-16 ***
ORIGIN_GRID_ID1985 1.3436385 0.0234150 57.384 < 2e-16 ***
ORIGIN_GRID_ID1987 2.9585972 0.0232463 127.272 < 2e-16 ***
ORIGIN_GRID_ID1988 1.5899480 0.0233276 68.157 < 2e-16 ***
ORIGIN_GRID_ID1989 1.8481892 0.0233354 79.201 < 2e-16 ***
ORIGIN_GRID_ID1990 3.7967948 0.0232400 163.373 < 2e-16 ***
ORIGIN_GRID_ID1994 2.1436243 0.0238029 90.057 < 2e-16 ***
ORIGIN_GRID_ID1995 4.3014199 0.0232622 184.911 < 2e-16 ***
ORIGIN_GRID_ID2010 1.3529934 0.0233256 58.005 < 2e-16 ***
ORIGIN_GRID_ID2011 2.2989564 0.0232611 98.833 < 2e-16 ***
ORIGIN_GRID_ID2012 1.1903965 0.0235038 50.647 < 2e-16 ***
ORIGIN_GRID_ID2013 1.7759276 0.0232910 76.250 < 2e-16 ***
ORIGIN_GRID_ID2014 2.1802172 0.0232755 93.670 < 2e-16 ***
ORIGIN_GRID_ID2015 2.2734113 0.0233613 97.315 < 2e-16 ***
ORIGIN_GRID_ID2016 2.1805003 0.0232802 93.663 < 2e-16 ***
ORIGIN_GRID_ID2017 2.1440099 0.0232835 92.083 < 2e-16 ***
ORIGIN_GRID_ID2021 2.4326598 0.0234564 103.710 < 2e-16 ***
ORIGIN_GRID_ID2038 1.8217558 0.0232679 78.295 < 2e-16 ***
ORIGIN_GRID_ID2039 2.4903814 0.0233053 106.859 < 2e-16 ***
ORIGIN_GRID_ID2040 2.8076810 0.0232533 120.743 < 2e-16 ***
ORIGIN_GRID_ID2041 3.7191905 0.0232455 159.996 < 2e-16 ***
ORIGIN_GRID_ID2042 2.4717801 0.0233290 105.953 < 2e-16 ***
ORIGIN_GRID_ID2043 0.8257158 0.0237177 34.814 < 2e-16 ***
ORIGIN_GRID_ID2044 3.0865601 0.0232472 132.771 < 2e-16 ***
ORIGIN_GRID_ID2064 -0.6076118 0.0248453 -24.456 < 2e-16 ***
ORIGIN_GRID_ID2065 1.4575392 0.0233208 62.499 < 2e-16 ***
ORIGIN_GRID_ID2066 1.5399619 0.0233208 66.034 < 2e-16 ***
ORIGIN_GRID_ID2067 2.6217684 0.0232863 112.589 < 2e-16 ***
ORIGIN_GRID_ID2068 2.6893447 0.0232858 115.493 < 2e-16 ***
ORIGIN_GRID_ID2070 2.6701795 0.0233049 114.576 < 2e-16 ***
ORIGIN_GRID_ID2071 2.1686798 0.0233792 92.761 < 2e-16 ***
ORIGIN_GRID_ID2093 1.7939407 0.0232767 77.070 < 2e-16 ***
ORIGIN_GRID_ID2094 2.3709801 0.0233016 101.752 < 2e-16 ***
ORIGIN_GRID_ID2095 2.9202998 0.0233560 125.034 < 2e-16 ***
ORIGIN_GRID_ID2098 1.2577465 0.0235536 53.399 < 2e-16 ***
ORIGIN_GRID_ID2119 1.9271380 0.0233095 82.676 < 2e-16 ***
ORIGIN_GRID_ID2120 1.5808176 0.0233457 67.713 < 2e-16 ***
ORIGIN_GRID_ID2123 1.7550442 0.0232997 75.325 < 2e-16 ***
ORIGIN_GRID_ID2147 2.0417336 0.0232766 87.716 < 2e-16 ***
ORIGIN_GRID_ID2148 2.9081233 0.0232482 125.091 < 2e-16 ***
ORIGIN_GRID_ID2149 2.0006244 0.0233505 85.678 < 2e-16 ***
ORIGIN_GRID_ID2150 0.4024657 0.0235638 17.080 < 2e-16 ***
ORIGIN_GRID_ID2151 1.3688738 0.0233464 58.633 < 2e-16 ***
ORIGIN_GRID_ID2152 2.5728769 0.0233114 110.370 < 2e-16 ***
ORIGIN_GRID_ID2154 2.8478940 0.0233896 121.759 < 2e-16 ***
ORIGIN_GRID_ID2174 1.0862259 0.0234948 46.233 < 2e-16 ***
ORIGIN_GRID_ID2177 3.5300153 0.0232446 151.864 < 2e-16 ***
ORIGIN_GRID_ID2178 2.2812986 0.0232641 98.061 < 2e-16 ***
ORIGIN_GRID_ID2179 2.6418718 0.0232826 113.470 < 2e-16 ***
ORIGIN_GRID_ID2180 3.2308412 0.0233287 138.492 < 2e-16 ***
ORIGIN_GRID_ID2201 2.6028609 0.0232635 111.886 < 2e-16 ***
ORIGIN_GRID_ID2203 2.3498674 0.0234111 100.374 < 2e-16 ***
ORIGIN_GRID_ID2204 0.9878465 0.0234251 42.170 < 2e-16 ***
ORIGIN_GRID_ID2205 1.4454435 0.0232853 62.075 < 2e-16 ***
ORIGIN_GRID_ID2206 3.5972496 0.0232404 154.784 < 2e-16 ***
ORIGIN_GRID_ID2208 3.7563312 0.0232807 161.349 < 2e-16 ***
ORIGIN_GRID_ID2228 1.9948438 0.0232998 85.616 < 2e-16 ***
ORIGIN_GRID_ID2231 1.8946941 0.0232810 81.384 < 2e-16 ***
ORIGIN_GRID_ID2233 3.6903846 0.0232411 158.787 < 2e-16 ***
ORIGIN_GRID_ID2234 -0.2195736 0.0340534 -6.448 1.13e-10 ***
ORIGIN_GRID_ID2235 0.8407031 0.0309856 27.132 < 2e-16 ***
ORIGIN_GRID_ID2254 1.2588093 0.0245617 51.251 < 2e-16 ***
ORIGIN_GRID_ID2255 2.4663953 0.0232970 105.867 < 2e-16 ***
ORIGIN_GRID_ID2256 1.9988611 0.0233090 85.755 < 2e-16 ***
ORIGIN_GRID_ID2257 0.6925462 0.0262417 26.391 < 2e-16 ***
ORIGIN_GRID_ID2259 0.8846585 0.0238598 37.077 < 2e-16 ***
ORIGIN_GRID_ID2260 2.9270535 0.0232539 125.874 < 2e-16 ***
ORIGIN_GRID_ID2261 3.2519805 0.0232498 139.871 < 2e-16 ***
ORIGIN_GRID_ID2262 3.1064292 0.0233620 132.969 < 2e-16 ***
ORIGIN_GRID_ID2281 2.2739217 0.0233886 97.224 < 2e-16 ***
ORIGIN_GRID_ID2282 1.9342778 0.0233454 82.855 < 2e-16 ***
ORIGIN_GRID_ID2283 2.5059306 0.0232688 107.695 < 2e-16 ***
ORIGIN_GRID_ID2285 2.9291685 0.0232593 125.935 < 2e-16 ***
ORIGIN_GRID_ID2286 1.6445416 0.0233589 70.403 < 2e-16 ***
ORIGIN_GRID_ID2287 3.5523317 0.0232402 152.853 < 2e-16 ***
ORIGIN_GRID_ID2288 2.1111806 0.0236431 89.294 < 2e-16 ***
ORIGIN_GRID_ID2310 1.9271760 0.0232966 82.723 < 2e-16 ***
ORIGIN_GRID_ID2312 -0.0403056 0.0255070 -1.580 0.114066
ORIGIN_GRID_ID2313 2.4057955 0.0232749 103.365 < 2e-16 ***
ORIGIN_GRID_ID2314 3.1201920 0.0232426 134.244 < 2e-16 ***
ORIGIN_GRID_ID2315 2.3361408 0.0232872 100.319 < 2e-16 ***
ORIGIN_GRID_ID2316 3.9878868 0.0232457 171.554 < 2e-16 ***
ORIGIN_GRID_ID2335 0.1157332 0.0255764 4.525 6.04e-06 ***
ORIGIN_GRID_ID2339 2.1126956 0.0233347 90.539 < 2e-16 ***
ORIGIN_GRID_ID2340 2.9749198 0.0232500 127.954 < 2e-16 ***
ORIGIN_GRID_ID2341 2.6055142 0.0232532 112.050 < 2e-16 ***
ORIGIN_GRID_ID2342 2.5709569 0.0232691 110.488 < 2e-16 ***
ORIGIN_GRID_ID2343 2.6914050 0.0233179 115.422 < 2e-16 ***
ORIGIN_GRID_ID2363 1.6104112 0.0234350 68.718 < 2e-16 ***
ORIGIN_GRID_ID2367 2.0907099 0.0233558 89.515 < 2e-16 ***
ORIGIN_GRID_ID2368 2.7631341 0.0232633 118.777 < 2e-16 ***
ORIGIN_GRID_ID2369 2.8522180 0.0232838 122.498 < 2e-16 ***
ORIGIN_GRID_ID2370 3.4745889 0.0232501 149.444 < 2e-16 ***
ORIGIN_GRID_ID2371 3.3153433 0.0232706 142.469 < 2e-16 ***
ORIGIN_GRID_ID2390 2.0633731 0.0233460 88.382 < 2e-16 ***
ORIGIN_GRID_ID2391 1.7004009 0.0233293 72.887 < 2e-16 ***
ORIGIN_GRID_ID2394 1.4355376 0.0236181 60.781 < 2e-16 ***
ORIGIN_GRID_ID2395 3.6743915 0.0232505 158.035 < 2e-16 ***
ORIGIN_GRID_ID2396 3.3955575 0.0232468 146.066 < 2e-16 ***
ORIGIN_GRID_ID2397 2.4973603 0.0233255 107.066 < 2e-16 ***
ORIGIN_GRID_ID2398 2.7269746 0.0233402 116.836 < 2e-16 ***
ORIGIN_GRID_ID2418 1.6936045 0.0233971 72.385 < 2e-16 ***
ORIGIN_GRID_ID2419 1.1835543 0.0235458 50.266 < 2e-16 ***
ORIGIN_GRID_ID2422 2.1729657 0.0240314 90.422 < 2e-16 ***
ORIGIN_GRID_ID2423 2.6575683 0.0233285 113.919 < 2e-16 ***
ORIGIN_GRID_ID2424 3.6975389 0.0232436 159.078 < 2e-16 ***
ORIGIN_GRID_ID2425 3.3851155 0.0232645 145.505 < 2e-16 ***
ORIGIN_GRID_ID2426 3.0239152 0.0235147 128.597 < 2e-16 ***
ORIGIN_GRID_ID2443 2.5736808 0.0233005 110.456 < 2e-16 ***
ORIGIN_GRID_ID2445 2.6862397 0.0232632 115.472 < 2e-16 ***
ORIGIN_GRID_ID2449 3.2883070 0.0233916 140.576 < 2e-16 ***
ORIGIN_GRID_ID2450 3.3400851 0.0232745 143.508 < 2e-16 ***
ORIGIN_GRID_ID2451 3.6968596 0.0232513 158.996 < 2e-16 ***
ORIGIN_GRID_ID2472 0.3381564 0.0293676 11.515 < 2e-16 ***
ORIGIN_GRID_ID2473 2.2184164 0.0233161 95.145 < 2e-16 ***
ORIGIN_GRID_ID2478 2.8215266 0.0232967 121.113 < 2e-16 ***
ORIGIN_GRID_ID2479 1.5599097 0.0239456 65.144 < 2e-16 ***
ORIGIN_GRID_ID2497 2.3894861 0.0232907 102.594 < 2e-16 ***
ORIGIN_GRID_ID2499 2.7408235 0.0233106 117.578 < 2e-16 ***
ORIGIN_GRID_ID2505 3.0517456 0.0233153 130.890 < 2e-16 ***
ORIGIN_GRID_ID2527 2.7742369 0.0232773 119.182 < 2e-16 ***
ORIGIN_GRID_ID2532 3.0490587 0.0233324 130.679 < 2e-16 ***
ORIGIN_GRID_ID2533 3.7769217 0.0234254 161.232 < 2e-16 ***
ORIGIN_GRID_ID2551 2.0857450 0.0233839 89.196 < 2e-16 ***
ORIGIN_GRID_ID2553 2.0628444 0.0235595 87.559 < 2e-16 ***
ORIGIN_GRID_ID2554 0.9198946 0.0240390 38.267 < 2e-16 ***
ORIGIN_GRID_ID2559 3.2254040 0.0233841 137.932 < 2e-16 ***
ORIGIN_GRID_ID2580 2.5391635 0.0232835 109.054 < 2e-16 ***
ORIGIN_GRID_ID2581 2.0111190 0.0234849 85.635 < 2e-16 ***
ORIGIN_GRID_ID2607 3.1327175 0.0232565 134.703 < 2e-16 ***
ORIGIN_GRID_ID2608 1.7233622 0.0235207 73.270 < 2e-16 ***
ORIGIN_GRID_ID2634 3.3187970 0.0232617 142.672 < 2e-16 ***
ORIGIN_GRID_ID2635 3.1622744 0.0232838 135.814 < 2e-16 ***
ORIGIN_GRID_ID2636 2.7602345 0.0233038 118.446 < 2e-16 ***
ORIGIN_GRID_ID2661 2.5132075 0.0232696 108.004 < 2e-16 ***
ORIGIN_GRID_ID2663 3.4264993 0.0232522 147.362 < 2e-16 ***
ORIGIN_GRID_ID2665 2.4356819 0.0233489 104.317 < 2e-16 ***
ORIGIN_GRID_ID2688 2.5130447 0.0232781 107.957 < 2e-16 ***
ORIGIN_GRID_ID2689 2.7228214 0.0232847 116.936 < 2e-16 ***
ORIGIN_GRID_ID2690 1.6727826 0.0233364 71.681 < 2e-16 ***
ORIGIN_GRID_ID2691 3.4156101 0.0232527 146.891 < 2e-16 ***
ORIGIN_GRID_ID2693 3.0207454 0.0232759 129.780 < 2e-16 ***
ORIGIN_GRID_ID2715 3.1755003 0.0232786 136.413 < 2e-16 ***
ORIGIN_GRID_ID2717 1.9316855 0.0232759 82.991 < 2e-16 ***
ORIGIN_GRID_ID2718 2.4032790 0.0233335 102.997 < 2e-16 ***
ORIGIN_GRID_ID2719 3.1573835 0.0232551 135.772 < 2e-16 ***
ORIGIN_GRID_ID2742 2.4016446 0.0233176 102.997 < 2e-16 ***
ORIGIN_GRID_ID2743 1.5168040 0.0237497 63.866 < 2e-16 ***
ORIGIN_GRID_ID2744 2.3028678 0.0232786 98.926 < 2e-16 ***
ORIGIN_GRID_ID2745 2.1870966 0.0232718 93.980 < 2e-16 ***
ORIGIN_GRID_ID2747 2.0901951 0.0233236 89.617 < 2e-16 ***
ORIGIN_GRID_ID2768 2.7779343 0.0232985 119.233 < 2e-16 ***
ORIGIN_GRID_ID2771 3.0506147 0.0232564 131.173 < 2e-16 ***
ORIGIN_GRID_ID2773 2.2185095 0.0232828 95.285 < 2e-16 ***
ORIGIN_GRID_ID2798 1.6113467 0.0233794 68.922 < 2e-16 ***
ORIGIN_GRID_ID2799 2.3671349 0.0232650 101.747 < 2e-16 ***
ORIGIN_GRID_ID2800 2.1859692 0.0232872 93.870 < 2e-16 ***
ORIGIN_GRID_ID2824 1.9114884 0.0233830 81.747 < 2e-16 ***
ORIGIN_GRID_ID2825 2.4680253 0.0232596 106.108 < 2e-16 ***
ORIGIN_GRID_ID2826 2.6448252 0.0233075 113.475 < 2e-16 ***
ORIGIN_GRID_ID2827 2.8388307 0.0232762 121.963 < 2e-16 ***
ORIGIN_GRID_ID2852 2.6916579 0.0232897 115.573 < 2e-16 ***
ORIGIN_GRID_ID2853 2.7391416 0.0232544 117.790 < 2e-16 ***
ORIGIN_GRID_ID2854 2.7550418 0.0232617 118.437 < 2e-16 ***
ORIGIN_GRID_ID2878 1.7776630 0.0233728 76.057 < 2e-16 ***
ORIGIN_GRID_ID2879 2.4971335 0.0232854 107.240 < 2e-16 ***
ORIGIN_GRID_ID2880 2.3470540 0.0232863 100.791 < 2e-16 ***
ORIGIN_GRID_ID2881 2.7995523 0.0232697 120.309 < 2e-16 ***
ORIGIN_GRID_ID2907 2.4026869 0.0233183 103.038 < 2e-16 ***
ORIGIN_GRID_ID2908 2.7636259 0.0232838 118.693 < 2e-16 ***
ORIGIN_GRID_ID2933 0.5876302 0.0245071 23.978 < 2e-16 ***
ORIGIN_GRID_ID2934 2.0339225 0.0233346 87.163 < 2e-16 ***
ORIGIN_GRID_ID3098 1.9925089 0.0238063 83.697 < 2e-16 ***
DESTIN_GRID_ID718 0.1939630 0.0045000 43.102 < 2e-16 ***
DESTIN_GRID_ID745 -1.9559822 0.0051019 -383.386 < 2e-16 ***
DESTIN_GRID_ID746 -0.8431058 0.0047009 -179.350 < 2e-16 ***
DESTIN_GRID_ID772 -0.0103535 0.0043724 -2.368 0.017888 *
DESTIN_GRID_ID799 0.2714899 0.0044436 61.097 < 2e-16 ***
DESTIN_GRID_ID800 -1.0157489 0.0044937 -226.036 < 2e-16 ***
DESTIN_GRID_ID826 1.2462457 0.0043601 285.832 < 2e-16 ***
DESTIN_GRID_ID827 0.1439701 0.0045860 31.393 < 2e-16 ***
DESTIN_GRID_ID854 -1.1585449 0.0048254 -240.094 < 2e-16 ***
DESTIN_GRID_ID880 -1.7818409 0.0054383 -327.649 < 2e-16 ***
DESTIN_GRID_ID881 -1.1492649 0.0054507 -210.846 < 2e-16 ***
DESTIN_GRID_ID908 -0.6705867 0.0046061 -145.586 < 2e-16 ***
DESTIN_GRID_ID934 -0.5466286 0.0046180 -118.369 < 2e-16 ***
DESTIN_GRID_ID935 -0.7843636 0.0047031 -166.777 < 2e-16 ***
DESTIN_GRID_ID961 -0.9643370 0.0048347 -199.463 < 2e-16 ***
DESTIN_GRID_ID962 1.3762836 0.0044246 311.054 < 2e-16 ***
DESTIN_GRID_ID987 0.3442136 0.0045181 76.186 < 2e-16 ***
DESTIN_GRID_ID988 -1.9248493 0.0053686 -358.537 < 2e-16 ***
DESTIN_GRID_ID989 -0.5694922 0.0046410 -122.709 < 2e-16 ***
DESTIN_GRID_ID1015 -3.3700135 0.0094631 -356.121 < 2e-16 ***
DESTIN_GRID_ID1016 -1.5518970 0.0049230 -315.232 < 2e-16 ***
DESTIN_GRID_ID1043 -0.6831876 0.0051383 -132.959 < 2e-16 ***
DESTIN_GRID_ID1068 -2.9583412 0.0210832 -140.318 < 2e-16 ***
DESTIN_GRID_ID1070 -0.3033850 0.0045799 -66.243 < 2e-16 ***
DESTIN_GRID_ID1096 -0.8085900 0.0046659 -173.297 < 2e-16 ***
DESTIN_GRID_ID1097 -1.2604768 0.0051480 -244.849 < 2e-16 ***
DESTIN_GRID_ID1099 -1.0631553 0.0047785 -222.488 < 2e-16 ***
DESTIN_GRID_ID1122 -0.0580064 0.0048865 -11.871 < 2e-16 ***
DESTIN_GRID_ID1123 0.9077222 0.0044398 204.450 < 2e-16 ***
DESTIN_GRID_ID1124 -0.4316917 0.0046813 -92.217 < 2e-16 ***
DESTIN_GRID_ID1125 -1.2802741 0.0051377 -249.191 < 2e-16 ***
DESTIN_GRID_ID1127 -1.8913024 0.0048658 -388.692 < 2e-16 ***
DESTIN_GRID_ID1128 -0.7626245 0.0050973 -149.614 < 2e-16 ***
DESTIN_GRID_ID1148 -1.1056233 0.0052638 -210.043 < 2e-16 ***
DESTIN_GRID_ID1150 -0.3502590 0.0046272 -75.696 < 2e-16 ***
DESTIN_GRID_ID1151 -1.1369884 0.0048006 -236.843 < 2e-16 ***
DESTIN_GRID_ID1152 -1.2269287 0.0054611 -224.665 < 2e-16 ***
DESTIN_GRID_ID1153 -1.5847812 0.0048145 -329.168 < 2e-16 ***
DESTIN_GRID_ID1154 0.6882385 0.0045528 151.169 < 2e-16 ***
DESTIN_GRID_ID1155 -4.0233552 0.0177963 -226.079 < 2e-16 ***
DESTIN_GRID_ID1176 -0.1203867 0.0046446 -25.920 < 2e-16 ***
DESTIN_GRID_ID1178 -1.1483846 0.0047482 -241.855 < 2e-16 ***
DESTIN_GRID_ID1179 -2.0741748 0.0053499 -387.704 < 2e-16 ***
DESTIN_GRID_ID1180 -3.5638436 0.0110307 -323.084 < 2e-16 ***
DESTIN_GRID_ID1181 -0.8496531 0.0046321 -183.425 < 2e-16 ***
DESTIN_GRID_ID1182 -1.2994849 0.0049043 -264.971 < 2e-16 ***
DESTIN_GRID_ID1183 -1.1826692 0.0066387 -178.147 < 2e-16 ***
DESTIN_GRID_ID1205 0.7349495 0.0044885 163.740 < 2e-16 ***
DESTIN_GRID_ID1206 -0.7932483 0.0047973 -165.352 < 2e-16 ***
DESTIN_GRID_ID1207 -1.2141305 0.0049219 -246.680 < 2e-16 ***
DESTIN_GRID_ID1209 0.4186346 0.0046561 89.912 < 2e-16 ***
DESTIN_GRID_ID1232 -0.2341347 0.0045934 -50.972 < 2e-16 ***
DESTIN_GRID_ID1233 0.1571026 0.0047741 32.907 < 2e-16 ***
DESTIN_GRID_ID1235 -0.0768089 0.0046873 -16.387 < 2e-16 ***
DESTIN_GRID_ID1255 0.3490401 0.0070283 49.662 < 2e-16 ***
DESTIN_GRID_ID1258 0.6847276 0.0046384 147.620 < 2e-16 ***
DESTIN_GRID_ID1259 -1.0628248 0.0050139 -211.977 < 2e-16 ***
DESTIN_GRID_ID1261 -1.2643990 0.0049121 -257.405 < 2e-16 ***
DESTIN_GRID_ID1262 -0.5318336 0.0047573 -111.794 < 2e-16 ***
DESTIN_GRID_ID1283 -0.8941125 0.0050343 -177.604 < 2e-16 ***
DESTIN_GRID_ID1284 -1.2168191 0.0062607 -194.357 < 2e-16 ***
DESTIN_GRID_ID1286 -1.7700533 0.0061850 -286.183 < 2e-16 ***
DESTIN_GRID_ID1289 -0.1648277 0.0045940 -35.879 < 2e-16 ***
DESTIN_GRID_ID1309 0.7247845 0.0047206 153.536 < 2e-16 ***
DESTIN_GRID_ID1310 1.4309340 0.0044877 318.854 < 2e-16 ***
DESTIN_GRID_ID1315 0.6606408 0.0045399 145.519 < 2e-16 ***
DESTIN_GRID_ID1316 -1.7778576 0.0056738 -313.344 < 2e-16 ***
DESTIN_GRID_ID1337 -0.6827407 0.0047493 -143.755 < 2e-16 ***
DESTIN_GRID_ID1338 -1.2825409 0.0072070 -177.957 < 2e-16 ***
DESTIN_GRID_ID1343 -1.6173423 0.0051786 -312.311 < 2e-16 ***
DESTIN_GRID_ID1363 0.4692502 0.0048703 96.350 < 2e-16 ***
DESTIN_GRID_ID1364 -1.0216080 0.0051857 -197.006 < 2e-16 ***
DESTIN_GRID_ID1366 -0.4349455 0.0050467 -86.184 < 2e-16 ***
DESTIN_GRID_ID1369 -0.4421142 0.0048059 -91.995 < 2e-16 ***
DESTIN_GRID_ID1370 -0.4061041 0.0049309 -82.359 < 2e-16 ***
DESTIN_GRID_ID1374 -1.3241338 0.0054694 -242.098 < 2e-16 ***
DESTIN_GRID_ID1375 -1.2446840 0.0071582 -173.882 < 2e-16 ***
DESTIN_GRID_ID1391 -0.6577526 0.0058005 -113.395 < 2e-16 ***
DESTIN_GRID_ID1392 -1.6111845 0.0077747 -207.234 < 2e-16 ***
DESTIN_GRID_ID1396 -2.2051999 0.0093305 -236.342 < 2e-16 ***
DESTIN_GRID_ID1397 -1.1968352 0.0050624 -236.419 < 2e-16 ***
DESTIN_GRID_ID1401 0.9141963 0.0047731 191.531 < 2e-16 ***
DESTIN_GRID_ID1402 -0.3552250 0.0049062 -72.403 < 2e-16 ***
DESTIN_GRID_ID1423 -0.9226478 0.0060270 -153.086 < 2e-16 ***
DESTIN_GRID_ID1428 -1.0110822 0.0051686 -195.619 < 2e-16 ***
DESTIN_GRID_ID1429 -0.6547075 0.0052883 -123.803 < 2e-16 ***
DESTIN_GRID_ID1455 -0.9343156 0.0052218 -178.927 < 2e-16 ***
DESTIN_GRID_ID1456 -1.2035246 0.0051065 -235.683 < 2e-16 ***
DESTIN_GRID_ID1471 0.0595355 0.0051619 11.534 < 2e-16 ***
DESTIN_GRID_ID1482 0.4403117 0.0047434 92.827 < 2e-16 ***
DESTIN_GRID_ID1499 -0.9651980 0.0063616 -151.722 < 2e-16 ***
DESTIN_GRID_ID1509 -1.4048423 0.0064665 -217.251 < 2e-16 ***
DESTIN_GRID_ID1510 1.5382317 0.0046590 330.164 < 2e-16 ***
DESTIN_GRID_ID1525 0.6700570 0.0046866 142.974 < 2e-16 ***
DESTIN_GRID_ID1536 -0.0849082 0.0047742 -17.785 < 2e-16 ***
DESTIN_GRID_ID1537 -0.5354499 0.0052001 -102.970 < 2e-16 ***
DESTIN_GRID_ID1552 -2.0647812 0.0103735 -199.043 < 2e-16 ***
DESTIN_GRID_ID1553 -0.7673655 0.0053461 -143.538 < 2e-16 ***
DESTIN_GRID_ID1563 -0.0399330 0.0050428 -7.919 2.40e-15 ***
DESTIN_GRID_ID1564 -0.5183884 0.0047737 -108.593 < 2e-16 ***
DESTIN_GRID_ID1578 -1.5416102 0.0076259 -202.156 < 2e-16 ***
DESTIN_GRID_ID1579 0.8199463 0.0047729 171.791 < 2e-16 ***
DESTIN_GRID_ID1590 -0.3798816 0.0048871 -77.731 < 2e-16 ***
DESTIN_GRID_ID1591 -0.2205259 0.0048746 -45.240 < 2e-16 ***
DESTIN_GRID_ID1605 0.1684055 0.0049260 34.187 < 2e-16 ***
DESTIN_GRID_ID1606 -0.1242133 0.0049663 -25.011 < 2e-16 ***
DESTIN_GRID_ID1617 -1.3957954 0.0078941 -176.815 < 2e-16 ***
DESTIN_GRID_ID1618 1.2365958 0.0046719 264.689 < 2e-16 ***
DESTIN_GRID_ID1631 -0.2589126 0.0053224 -48.646 < 2e-16 ***
DESTIN_GRID_ID1632 -0.1208270 0.0050282 -24.030 < 2e-16 ***
DESTIN_GRID_ID1634 -0.0584135 0.0060981 -9.579 < 2e-16 ***
DESTIN_GRID_ID1644 -0.3328473 0.0050330 -66.133 < 2e-16 ***
DESTIN_GRID_ID1645 0.0180575 0.0048378 3.733 0.000190 ***
DESTIN_GRID_ID1658 -0.4682274 0.0054852 -85.361 < 2e-16 ***
DESTIN_GRID_ID1659 0.4154073 0.0047176 88.055 < 2e-16 ***
DESTIN_GRID_ID1672 -0.6442192 0.0056607 -113.805 < 2e-16 ***
DESTIN_GRID_ID1684 0.3105462 0.0049439 62.814 < 2e-16 ***
DESTIN_GRID_ID1685 -0.0014060 0.0054850 -0.256 0.797690
DESTIN_GRID_ID1686 0.0445936 0.0049399 9.027 < 2e-16 ***
DESTIN_GRID_ID1688 -0.6327589 0.0073481 -86.112 < 2e-16 ***
DESTIN_GRID_ID1699 -0.4353885 0.0049091 -88.690 < 2e-16 ***
DESTIN_GRID_ID1700 -0.9073130 0.0074334 -122.059 < 2e-16 ***
DESTIN_GRID_ID1712 -1.1478478 0.0058805 -195.195 < 2e-16 ***
DESTIN_GRID_ID1713 0.7988942 0.0046445 172.007 < 2e-16 ***
DESTIN_GRID_ID1727 0.0328131 0.0048716 6.736 1.63e-11 ***
DESTIN_GRID_ID1739 0.8438095 0.0046105 183.018 < 2e-16 ***
DESTIN_GRID_ID1753 1.0432879 0.0046858 222.648 < 2e-16 ***
DESTIN_GRID_ID1754 -0.6124385 0.0051839 -118.143 < 2e-16 ***
DESTIN_GRID_ID1766 0.3649578 0.0047378 77.031 < 2e-16 ***
DESTIN_GRID_ID1767 0.2335433 0.0046878 49.820 < 2e-16 ***
DESTIN_GRID_ID1780 -0.7583507 0.0109615 -69.183 < 2e-16 ***
DESTIN_GRID_ID1781 -0.6664453 0.0050283 -132.539 < 2e-16 ***
DESTIN_GRID_ID1792 -0.6686807 0.0052744 -126.778 < 2e-16 ***
DESTIN_GRID_ID1793 0.4518009 0.0046641 96.867 < 2e-16 ***
DESTIN_GRID_ID1794 -0.5108334 0.0055470 -92.091 < 2e-16 ***
DESTIN_GRID_ID1807 -1.7750315 0.0055653 -318.943 < 2e-16 ***
DESTIN_GRID_ID1820 -0.2884589 0.0050978 -56.585 < 2e-16 ***
DESTIN_GRID_ID1821 1.4291796 0.0046038 310.435 < 2e-16 ***
DESTIN_GRID_ID1833 0.2248939 0.0047092 47.756 < 2e-16 ***
DESTIN_GRID_ID1835 -1.3808991 0.0057186 -241.477 < 2e-16 ***
DESTIN_GRID_ID1847 -1.7201695 0.0101969 -168.696 < 2e-16 ***
DESTIN_GRID_ID1854 -0.6312645 0.0055800 -113.131 < 2e-16 ***
DESTIN_GRID_ID1859 -1.1490823 0.0049002 -234.497 < 2e-16 ***
DESTIN_GRID_ID1860 -0.9450653 0.0049396 -191.324 < 2e-16 ***
DESTIN_GRID_ID1861 -0.9881242 0.0056202 -175.817 < 2e-16 ***
DESTIN_GRID_ID1874 0.1019648 0.0048983 20.816 < 2e-16 ***
DESTIN_GRID_ID1875 0.3601037 0.0046948 76.703 < 2e-16 ***
DESTIN_GRID_ID1882 0.1511885 0.0047652 31.727 < 2e-16 ***
DESTIN_GRID_ID1883 -1.2206459 0.0057340 -212.878 < 2e-16 ***
DESTIN_GRID_ID1886 1.1076412 0.0046601 237.685 < 2e-16 ***
DESTIN_GRID_ID1887 1.1457362 0.0046469 246.557 < 2e-16 ***
DESTIN_GRID_ID1888 -1.1284323 0.0056013 -201.459 < 2e-16 ***
DESTIN_GRID_ID1905 -0.9750532 0.0058148 -167.686 < 2e-16 ***
DESTIN_GRID_ID1907 -0.0731515 0.0049999 -14.630 < 2e-16 ***
DESTIN_GRID_ID1908 -0.9511307 0.0054011 -176.100 < 2e-16 ***
DESTIN_GRID_ID1909 -0.6378764 0.0049965 -127.664 < 2e-16 ***
DESTIN_GRID_ID1912 -3.9575939 0.0214447 -184.549 < 2e-16 ***
DESTIN_GRID_ID1913 -0.7798404 0.0048808 -159.778 < 2e-16 ***
DESTIN_GRID_ID1914 -0.4005485 0.0047984 -83.475 < 2e-16 ***
DESTIN_GRID_ID1928 -0.0590015 0.0052084 -11.328 < 2e-16 ***
DESTIN_GRID_ID1929 0.0174913 0.0052645 3.323 0.000892 ***
DESTIN_GRID_ID1933 0.3864590 0.0047682 81.049 < 2e-16 ***
DESTIN_GRID_ID1935 -0.2239167 0.0049718 -45.038 < 2e-16 ***
DESTIN_GRID_ID1936 -0.6146990 0.0049502 -124.177 < 2e-16 ***
DESTIN_GRID_ID1937 -0.5040551 0.0049798 -101.221 < 2e-16 ***
DESTIN_GRID_ID1940 -1.0568233 0.0049870 -211.917 < 2e-16 ***
DESTIN_GRID_ID1941 -2.2416149 0.0055077 -406.998 < 2e-16 ***
DESTIN_GRID_ID1942 -1.0735463 0.0063656 -168.647 < 2e-16 ***
DESTIN_GRID_ID1955 1.1229461 0.0047179 238.018 < 2e-16 ***
DESTIN_GRID_ID1959 0.2842657 0.0047588 59.735 < 2e-16 ***
DESTIN_GRID_ID1960 0.4658091 0.0046866 99.392 < 2e-16 ***
DESTIN_GRID_ID1962 -0.8926516 0.0050414 -177.065 < 2e-16 ***
DESTIN_GRID_ID1963 -1.0839692 0.0049669 -218.238 < 2e-16 ***
DESTIN_GRID_ID1967 -0.6886420 0.0048970 -140.626 < 2e-16 ***
DESTIN_GRID_ID1968 -0.8951445 0.0050966 -175.634 < 2e-16 ***
DESTIN_GRID_ID1985 0.2185709 0.0050481 43.297 < 2e-16 ***
DESTIN_GRID_ID1987 1.0136481 0.0045913 220.778 < 2e-16 ***
DESTIN_GRID_ID1988 -0.9201083 0.0051213 -179.662 < 2e-16 ***
DESTIN_GRID_ID1989 -1.1682897 0.0053480 -218.455 < 2e-16 ***
DESTIN_GRID_ID1990 1.4942379 0.0045773 326.446 < 2e-16 ***
DESTIN_GRID_ID1994 -3.2545787 0.0132423 -245.771 < 2e-16 ***
DESTIN_GRID_ID1995 -1.5189196 0.0051641 -294.130 < 2e-16 ***
DESTIN_GRID_ID2010 0.5775777 0.0046546 124.088 < 2e-16 ***
DESTIN_GRID_ID2011 0.5477057 0.0047683 114.863 < 2e-16 ***
DESTIN_GRID_ID2012 -0.7511628 0.0054037 -139.009 < 2e-16 ***
DESTIN_GRID_ID2013 -0.6447981 0.0048043 -134.213 < 2e-16 ***
DESTIN_GRID_ID2014 -0.4773138 0.0047689 -100.089 < 2e-16 ***
DESTIN_GRID_ID2015 0.2116949 0.0050317 42.072 < 2e-16 ***
DESTIN_GRID_ID2016 -0.6643204 0.0048736 -136.309 < 2e-16 ***
DESTIN_GRID_ID2017 -0.7211582 0.0048654 -148.223 < 2e-16 ***
DESTIN_GRID_ID2021 -2.8838388 0.0078376 -367.948 < 2e-16 ***
DESTIN_GRID_ID2038 1.1313977 0.0046014 245.881 < 2e-16 ***
DESTIN_GRID_ID2039 -0.4370019 0.0053553 -81.601 < 2e-16 ***
DESTIN_GRID_ID2040 -0.2542374 0.0049414 -51.451 < 2e-16 ***
DESTIN_GRID_ID2041 0.3243669 0.0047197 68.726 < 2e-16 ***
DESTIN_GRID_ID2042 -0.3113401 0.0053442 -58.258 < 2e-16 ***
DESTIN_GRID_ID2043 -0.1130782 0.0049661 -22.770 < 2e-16 ***
DESTIN_GRID_ID2044 -0.4901194 0.0047618 -102.927 < 2e-16 ***
DESTIN_GRID_ID2064 0.3073836 0.0049824 61.694 < 2e-16 ***
DESTIN_GRID_ID2065 -0.0411775 0.0049786 -8.271 < 2e-16 ***
DESTIN_GRID_ID2066 -0.2404425 0.0047637 -50.474 < 2e-16 ***
DESTIN_GRID_ID2067 -0.9065893 0.0052949 -171.218 < 2e-16 ***
DESTIN_GRID_ID2068 -0.6963177 0.0050601 -137.609 < 2e-16 ***
DESTIN_GRID_ID2070 -0.1997319 0.0050346 -39.672 < 2e-16 ***
DESTIN_GRID_ID2071 -0.1727846 0.0048699 -35.480 < 2e-16 ***
DESTIN_GRID_ID2093 0.3301950 0.0046960 70.315 < 2e-16 ***
DESTIN_GRID_ID2094 -0.0031050 0.0047971 -0.647 0.517460
DESTIN_GRID_ID2095 -0.4780985 0.0052813 -90.527 < 2e-16 ***
DESTIN_GRID_ID2098 -0.5364615 0.0051393 -104.385 < 2e-16 ***
DESTIN_GRID_ID2119 0.0133360 0.0049685 2.684 0.007272 **
DESTIN_GRID_ID2120 0.6005505 0.0047395 126.711 < 2e-16 ***
DESTIN_GRID_ID2123 -1.2610912 0.0054262 -232.408 < 2e-16 ***
DESTIN_GRID_ID2147 0.2408176 0.0047518 50.680 < 2e-16 ***
DESTIN_GRID_ID2148 0.0719282 0.0047881 15.022 < 2e-16 ***
DESTIN_GRID_ID2149 0.2929158 0.0048743 60.094 < 2e-16 ***
DESTIN_GRID_ID2150 -1.8725654 0.0073536 -254.645 < 2e-16 ***
DESTIN_GRID_ID2151 -2.2245516 0.0067431 -329.902 < 2e-16 ***
DESTIN_GRID_ID2152 0.1064571 0.0047331 22.492 < 2e-16 ***
DESTIN_GRID_ID2154 -2.1859002 0.0063673 -343.299 < 2e-16 ***
DESTIN_GRID_ID2174 -1.6131427 0.0064744 -249.157 < 2e-16 ***
DESTIN_GRID_ID2177 1.7197299 0.0045647 376.746 < 2e-16 ***
DESTIN_GRID_ID2178 -1.7089307 0.0051468 -332.035 < 2e-16 ***
DESTIN_GRID_ID2179 -0.5252628 0.0047906 -109.645 < 2e-16 ***
DESTIN_GRID_ID2180 -1.4325533 0.0056594 -253.126 < 2e-16 ***
DESTIN_GRID_ID2201 -0.1043766 0.0049155 -21.234 < 2e-16 ***
DESTIN_GRID_ID2203 -0.1483282 0.0055902 -26.534 < 2e-16 ***
DESTIN_GRID_ID2204 -0.2240379 0.0049431 -45.323 < 2e-16 ***
DESTIN_GRID_ID2205 -1.1781786 0.0049202 -239.455 < 2e-16 ***
DESTIN_GRID_ID2206 -0.2396310 0.0046785 -51.220 < 2e-16 ***
DESTIN_GRID_ID2208 -1.0806975 0.0050722 -213.061 < 2e-16 ***
DESTIN_GRID_ID2228 -0.5081807 0.0050621 -100.389 < 2e-16 ***
DESTIN_GRID_ID2231 -0.7044604 0.0049007 -143.748 < 2e-16 ***
DESTIN_GRID_ID2233 -0.3730052 0.0046647 -79.964 < 2e-16 ***
DESTIN_GRID_ID2234 -6.7752068 0.0914051 -74.123 < 2e-16 ***
DESTIN_GRID_ID2235 -3.6687371 0.0316191 -116.029 < 2e-16 ***
DESTIN_GRID_ID2254 -0.2805670 0.0072543 -38.676 < 2e-16 ***
DESTIN_GRID_ID2255 -0.7283025 0.0059103 -123.226 < 2e-16 ***
DESTIN_GRID_ID2256 -0.3364117 0.0050166 -67.060 < 2e-16 ***
DESTIN_GRID_ID2257 -0.8080581 0.0088426 -91.382 < 2e-16 ***
DESTIN_GRID_ID2259 -1.4789130 0.0061339 -241.105 < 2e-16 ***
DESTIN_GRID_ID2260 -1.3142821 0.0048713 -269.799 < 2e-16 ***
DESTIN_GRID_ID2261 -1.1691197 0.0048719 -239.970 < 2e-16 ***
DESTIN_GRID_ID2262 -2.3369395 0.0065255 -358.122 < 2e-16 ***
DESTIN_GRID_ID2281 -0.5517863 0.0058738 -93.939 < 2e-16 ***
DESTIN_GRID_ID2282 0.7459629 0.0047161 158.173 < 2e-16 ***
DESTIN_GRID_ID2283 -0.4762512 0.0050699 -93.937 < 2e-16 ***
DESTIN_GRID_ID2285 -0.0788541 0.0048478 -16.266 < 2e-16 ***
DESTIN_GRID_ID2286 -1.1084388 0.0051132 -216.781 < 2e-16 ***
DESTIN_GRID_ID2287 -0.3521351 0.0046258 -76.124 < 2e-16 ***
DESTIN_GRID_ID2288 -2.8694610 0.0080836 -354.975 < 2e-16 ***
DESTIN_GRID_ID2310 -0.0390598 0.0048324 -8.083 6.33e-16 ***
DESTIN_GRID_ID2312 -1.4312874 0.0066529 -215.136 < 2e-16 ***
DESTIN_GRID_ID2313 0.5722615 0.0046262 123.699 < 2e-16 ***
DESTIN_GRID_ID2314 0.5842860 0.0045749 127.715 < 2e-16 ***
DESTIN_GRID_ID2315 -1.4158281 0.0050521 -280.246 < 2e-16 ***
DESTIN_GRID_ID2316 -0.7534054 0.0047676 -158.025 < 2e-16 ***
DESTIN_GRID_ID2335 -1.8282822 0.0142391 -128.399 < 2e-16 ***
DESTIN_GRID_ID2339 -0.3617199 0.0050173 -72.094 < 2e-16 ***
DESTIN_GRID_ID2340 -0.6687048 0.0047163 -141.785 < 2e-16 ***
DESTIN_GRID_ID2341 -0.4885255 0.0046448 -105.177 < 2e-16 ***
DESTIN_GRID_ID2342 -1.7767328 0.0049416 -359.549 < 2e-16 ***
DESTIN_GRID_ID2343 -1.9848810 0.0057771 -343.578 < 2e-16 ***
DESTIN_GRID_ID2363 -0.8509199 0.0057823 -147.159 < 2e-16 ***
DESTIN_GRID_ID2367 -0.6922879 0.0053537 -129.311 < 2e-16 ***
DESTIN_GRID_ID2368 -0.9268677 0.0048673 -190.429 < 2e-16 ***
DESTIN_GRID_ID2369 -0.0995070 0.0046764 -21.279 < 2e-16 ***
DESTIN_GRID_ID2370 0.6603867 0.0045910 143.845 < 2e-16 ***
DESTIN_GRID_ID2371 -1.1742254 0.0050853 -230.906 < 2e-16 ***
DESTIN_GRID_ID2390 0.7217918 0.0047081 153.308 < 2e-16 ***
DESTIN_GRID_ID2391 0.3462741 0.0047871 72.335 < 2e-16 ***
DESTIN_GRID_ID2394 -2.2954221 0.0073311 -313.107 < 2e-16 ***
DESTIN_GRID_ID2395 -0.8640968 0.0048139 -179.502 < 2e-16 ***
DESTIN_GRID_ID2396 -0.9592654 0.0047111 -203.619 < 2e-16 ***
DESTIN_GRID_ID2397 -2.5477662 0.0070582 -360.966 < 2e-16 ***
DESTIN_GRID_ID2398 -1.7965174 0.0058252 -308.404 < 2e-16 ***
DESTIN_GRID_ID2418 -0.2451402 0.0051618 -47.491 < 2e-16 ***
DESTIN_GRID_ID2419 0.3712626 0.0049122 75.580 < 2e-16 ***
DESTIN_GRID_ID2422 -1.9709831 0.0100976 -195.193 < 2e-16 ***
DESTIN_GRID_ID2423 -1.9517100 0.0055356 -352.572 < 2e-16 ***
DESTIN_GRID_ID2424 -0.5646134 0.0047048 -120.007 < 2e-16 ***
DESTIN_GRID_ID2425 0.7372145 0.0046393 158.907 < 2e-16 ***
DESTIN_GRID_ID2426 -0.9783510 0.0062876 -155.601 < 2e-16 ***
DESTIN_GRID_ID2443 0.7794982 0.0047647 163.600 < 2e-16 ***
DESTIN_GRID_ID2445 0.1994319 0.0047932 41.607 < 2e-16 ***
DESTIN_GRID_ID2449 -2.0714702 0.0074849 -276.752 < 2e-16 ***
DESTIN_GRID_ID2450 -1.6894065 0.0051015 -331.162 < 2e-16 ***
DESTIN_GRID_ID2451 -0.2678737 0.0046636 -57.439 < 2e-16 ***
DESTIN_GRID_ID2472 -2.3071911 0.0167683 -137.593 < 2e-16 ***
DESTIN_GRID_ID2473 0.2086822 0.0049329 42.305 < 2e-16 ***
DESTIN_GRID_ID2478 -1.5162414 0.0051226 -295.993 < 2e-16 ***
DESTIN_GRID_ID2479 -2.3124779 0.0088916 -260.074 < 2e-16 ***
DESTIN_GRID_ID2497 -0.2848716 0.0050392 -56.531 < 2e-16 ***
DESTIN_GRID_ID2499 -0.9087378 0.0058029 -156.602 < 2e-16 ***
DESTIN_GRID_ID2505 -1.3559996 0.0053161 -255.072 < 2e-16 ***
DESTIN_GRID_ID2527 0.5922697 0.0047202 125.474 < 2e-16 ***
DESTIN_GRID_ID2532 -2.0128350 0.0061219 -328.791 < 2e-16 ***
DESTIN_GRID_ID2533 -1.8035976 0.0078502 -229.753 < 2e-16 ***
DESTIN_GRID_ID2551 -0.2530546 0.0056560 -44.741 < 2e-16 ***
DESTIN_GRID_ID2553 -1.2244979 0.0071391 -171.520 < 2e-16 ***
DESTIN_GRID_ID2554 -1.8271344 0.0083560 -218.661 < 2e-16 ***
DESTIN_GRID_ID2559 -1.9311098 0.0072295 -267.113 < 2e-16 ***
DESTIN_GRID_ID2580 -0.2987122 0.0049364 -60.512 < 2e-16 ***
DESTIN_GRID_ID2581 -1.2020103 0.0066416 -180.983 < 2e-16 ***
DESTIN_GRID_ID2607 -0.7237964 0.0050085 -144.514 < 2e-16 ***
DESTIN_GRID_ID2608 -1.3599631 0.0069627 -195.322 < 2e-16 ***
DESTIN_GRID_ID2634 1.5599522 0.0046153 337.994 < 2e-16 ***
DESTIN_GRID_ID2635 -1.1351974 0.0056533 -200.802 < 2e-16 ***
DESTIN_GRID_ID2636 -0.0692076 0.0049973 -13.849 < 2e-16 ***
DESTIN_GRID_ID2661 -0.8285481 0.0049164 -168.528 < 2e-16 ***
DESTIN_GRID_ID2663 0.1038898 0.0047388 21.923 < 2e-16 ***
DESTIN_GRID_ID2665 0.1104610 0.0048242 22.897 < 2e-16 ***
DESTIN_GRID_ID2688 -0.6207011 0.0050578 -122.721 < 2e-16 ***
DESTIN_GRID_ID2689 0.3201680 0.0047583 67.287 < 2e-16 ***
DESTIN_GRID_ID2690 -0.2145571 0.0048192 -44.521 < 2e-16 ***
DESTIN_GRID_ID2691 -0.4468812 0.0048309 -92.504 < 2e-16 ***
DESTIN_GRID_ID2693 -0.2024323 0.0049391 -40.985 < 2e-16 ***
DESTIN_GRID_ID2715 -0.5661025 0.0052168 -108.514 < 2e-16 ***
DESTIN_GRID_ID2717 -0.4933704 0.0047412 -104.060 < 2e-16 ***
DESTIN_GRID_ID2718 -1.5069439 0.0058608 -257.123 < 2e-16 ***
DESTIN_GRID_ID2719 -0.3936952 0.0048052 -81.931 < 2e-16 ***
DESTIN_GRID_ID2742 -0.3787101 0.0050032 -75.693 < 2e-16 ***
DESTIN_GRID_ID2743 -0.2526386 0.0056970 -44.346 < 2e-16 ***
DESTIN_GRID_ID2744 0.3348967 0.0047285 70.825 < 2e-16 ***
DESTIN_GRID_ID2745 -0.0216497 0.0047435 -4.564 5.02e-06 ***
DESTIN_GRID_ID2747 -1.2068428 0.0053891 -223.943 < 2e-16 ***
DESTIN_GRID_ID2768 -0.2874155 0.0050754 -56.629 < 2e-16 ***
DESTIN_GRID_ID2771 1.7384085 0.0046039 377.598 < 2e-16 ***
DESTIN_GRID_ID2773 -1.2621387 0.0051466 -245.236 < 2e-16 ***
DESTIN_GRID_ID2798 -1.5200881 0.0061954 -245.356 < 2e-16 ***
DESTIN_GRID_ID2799 -0.6770829 0.0049245 -137.491 < 2e-16 ***
DESTIN_GRID_ID2800 0.6831949 0.0046594 146.628 < 2e-16 ***
DESTIN_GRID_ID2824 0.8153328 0.0048106 169.486 < 2e-16 ***
DESTIN_GRID_ID2825 -0.3184101 0.0047711 -66.737 < 2e-16 ***
DESTIN_GRID_ID2826 -0.8280730 0.0054883 -150.881 < 2e-16 ***
DESTIN_GRID_ID2827 1.3804977 0.0046424 297.366 < 2e-16 ***
DESTIN_GRID_ID2852 -0.5717200 0.0054610 -104.691 < 2e-16 ***
DESTIN_GRID_ID2853 0.7391529 0.0046355 159.456 < 2e-16 ***
DESTIN_GRID_ID2854 -0.1054111 0.0048181 -21.878 < 2e-16 ***
DESTIN_GRID_ID2878 -0.5644096 0.0054179 -104.175 < 2e-16 ***
DESTIN_GRID_ID2879 -0.4541410 0.0049990 -90.846 < 2e-16 ***
DESTIN_GRID_ID2880 -1.1765311 0.0053492 -219.946 < 2e-16 ***
DESTIN_GRID_ID2881 -0.6554680 0.0051526 -127.211 < 2e-16 ***
DESTIN_GRID_ID2907 -1.1725359 0.0060105 -195.081 < 2e-16 ***
DESTIN_GRID_ID2908 -0.0956805 0.0048605 -19.685 < 2e-16 ***
DESTIN_GRID_ID2933 0.8832728 0.0051354 171.995 < 2e-16 ***
DESTIN_GRID_ID2934 -0.7921841 0.0052797 -150.043 < 2e-16 ***
DESTIN_GRID_ID3098 0.3770330 0.0054613 69.037 < 2e-16 ***
log(DISTANCE) -1.5164188 0.0001409 -10764.473 < 2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(Dispersion parameter for poisson family taken to be 1)
Null deviance: 514012584 on 101667 degrees of freedom
Residual deviance: 94904454 on 100972 degrees of freedom
AIC: 95663455
Number of Fisher Scoring iterations: 6CalcRSquared(dbcSIM_Poisson2$data$TRIPS, dbcSIM_Poisson2$fitted.values)[1] 0.7777153model_list3 <- list(originConstrained3=orcSIM_Poisson3,
destinationConstrained3=decSIM_Poisson3,
doublyConstrained2=dbcSIM_Poisson2)compare_performance(model_list3,
metrics = "RMSE")# Comparison of Model Performance Indices
Name | Model | RMSE
------------------------------------------
originConstrained3 | glm | 2998.532
destinationConstrained3 | glm | 3192.761
doublyConstrained2 | glm | 2302.4788.1.3 Removing both the variables and outliers
orcSIM_Poisson4 <- glm(formula = TRIPS ~
ORIGIN_GRID_ID +
log(TDESTIN_BIZ_COUNT) +
log(TDESTIN_FINSERV_COUNT) +
log(TDESTIN_MRTEXIT_COUNT) +
log(TDESTIN_BUSSTOP_COUNT) +
log(TDESTIN_HDBCOMM_UNITS) +
log(TDESTIN_HDBRES_UNITS) +
log(TDESTIN_SCHOOLS_COUNT) +
log(DISTANCE) - 1,
family = poisson(link = "log"),
data = inter_zonal_flow1,
na.action = na.exclude)
summary(orcSIM_Poisson4)
Call:
glm(formula = TRIPS ~ ORIGIN_GRID_ID + log(TDESTIN_BIZ_COUNT) +
log(TDESTIN_FINSERV_COUNT) + log(TDESTIN_MRTEXIT_COUNT) +
log(TDESTIN_BUSSTOP_COUNT) + log(TDESTIN_HDBCOMM_UNITS) +
log(TDESTIN_HDBRES_UNITS) + log(TDESTIN_SCHOOLS_COUNT) +
log(DISTANCE) - 1, family = poisson(link = "log"), data = inter_zonal_flow1,
na.action = na.exclude)
Coefficients:
Estimate Std. Error z value Pr(>|z|)
ORIGIN_GRID_ID664 1.466e+01 2.324e-02 630.7 <2e-16 ***
ORIGIN_GRID_ID718 1.863e+01 1.665e-03 11191.7 <2e-16 ***
ORIGIN_GRID_ID745 1.633e+01 2.758e-03 5921.5 <2e-16 ***
ORIGIN_GRID_ID746 1.836e+01 1.722e-03 10666.1 <2e-16 ***
ORIGIN_GRID_ID772 1.805e+01 1.569e-03 11500.5 <2e-16 ***
ORIGIN_GRID_ID799 1.742e+01 2.440e-03 7137.5 <2e-16 ***
ORIGIN_GRID_ID800 1.715e+01 2.109e-03 8132.1 <2e-16 ***
ORIGIN_GRID_ID826 1.829e+01 1.568e-03 11663.2 <2e-16 ***
ORIGIN_GRID_ID827 1.832e+01 1.810e-03 10118.8 <2e-16 ***
ORIGIN_GRID_ID854 1.715e+01 2.258e-03 7596.0 <2e-16 ***
ORIGIN_GRID_ID880 1.656e+01 2.925e-03 5659.1 <2e-16 ***
ORIGIN_GRID_ID881 1.584e+01 6.075e-03 2607.7 <2e-16 ***
ORIGIN_GRID_ID908 1.807e+01 1.637e-03 11036.5 <2e-16 ***
ORIGIN_GRID_ID934 1.675e+01 2.384e-03 7024.3 <2e-16 ***
ORIGIN_GRID_ID935 1.750e+01 1.863e-03 9394.8 <2e-16 ***
ORIGIN_GRID_ID961 1.787e+01 1.849e-03 9660.2 <2e-16 ***
ORIGIN_GRID_ID962 1.809e+01 1.659e-03 10904.3 <2e-16 ***
ORIGIN_GRID_ID987 1.841e+01 1.656e-03 11113.5 <2e-16 ***
ORIGIN_GRID_ID988 1.689e+01 2.428e-03 6956.2 <2e-16 ***
ORIGIN_GRID_ID989 1.803e+01 1.628e-03 11077.7 <2e-16 ***
ORIGIN_GRID_ID1015 1.683e+01 3.045e-03 5527.7 <2e-16 ***
ORIGIN_GRID_ID1016 1.703e+01 2.030e-03 8390.9 <2e-16 ***
ORIGIN_GRID_ID1043 1.725e+01 2.803e-03 6154.6 <2e-16 ***
ORIGIN_GRID_ID1068 1.486e+01 1.914e-02 776.5 <2e-16 ***
ORIGIN_GRID_ID1070 1.749e+01 1.857e-03 9420.1 <2e-16 ***
ORIGIN_GRID_ID1096 1.702e+01 1.909e-03 8916.1 <2e-16 ***
ORIGIN_GRID_ID1097 1.685e+01 2.627e-03 6413.5 <2e-16 ***
ORIGIN_GRID_ID1099 1.834e+01 1.656e-03 11077.1 <2e-16 ***
ORIGIN_GRID_ID1122 1.797e+01 1.719e-03 10450.6 <2e-16 ***
ORIGIN_GRID_ID1123 1.768e+01 1.740e-03 10157.8 <2e-16 ***
ORIGIN_GRID_ID1124 1.704e+01 2.188e-03 7787.5 <2e-16 ***
ORIGIN_GRID_ID1125 1.764e+01 2.044e-03 8627.3 <2e-16 ***
ORIGIN_GRID_ID1127 1.761e+01 1.699e-03 10367.9 <2e-16 ***
ORIGIN_GRID_ID1128 1.751e+01 2.066e-03 8477.9 <2e-16 ***
ORIGIN_GRID_ID1148 1.654e+01 2.881e-03 5741.0 <2e-16 ***
ORIGIN_GRID_ID1150 1.793e+01 1.568e-03 11430.7 <2e-16 ***
ORIGIN_GRID_ID1151 1.737e+01 1.899e-03 9148.8 <2e-16 ***
ORIGIN_GRID_ID1152 1.756e+01 2.263e-03 7762.0 <2e-16 ***
ORIGIN_GRID_ID1153 1.807e+01 1.775e-03 10179.1 <2e-16 ***
ORIGIN_GRID_ID1154 1.813e+01 1.739e-03 10424.7 <2e-16 ***
ORIGIN_GRID_ID1155 1.488e+01 1.039e-02 1431.7 <2e-16 ***
ORIGIN_GRID_ID1176 1.679e+01 2.454e-03 6842.4 <2e-16 ***
ORIGIN_GRID_ID1178 1.696e+01 1.987e-03 8533.9 <2e-16 ***
ORIGIN_GRID_ID1179 1.668e+01 2.358e-03 7075.9 <2e-16 ***
ORIGIN_GRID_ID1180 1.570e+01 5.508e-03 2850.0 <2e-16 ***
ORIGIN_GRID_ID1181 1.683e+01 1.881e-03 8947.9 <2e-16 ***
ORIGIN_GRID_ID1182 1.771e+01 1.697e-03 10432.2 <2e-16 ***
ORIGIN_GRID_ID1183 1.833e+01 2.360e-03 7765.4 <2e-16 ***
ORIGIN_GRID_ID1205 1.789e+01 1.640e-03 10910.8 <2e-16 ***
ORIGIN_GRID_ID1206 1.704e+01 2.164e-03 7873.1 <2e-16 ***
ORIGIN_GRID_ID1207 1.681e+01 2.734e-03 6150.0 <2e-16 ***
ORIGIN_GRID_ID1209 1.727e+01 2.089e-03 8266.0 <2e-16 ***
ORIGIN_GRID_ID1232 1.765e+01 1.732e-03 10187.9 <2e-16 ***
ORIGIN_GRID_ID1233 1.709e+01 2.833e-03 6032.5 <2e-16 ***
ORIGIN_GRID_ID1235 1.759e+01 2.055e-03 8562.1 <2e-16 ***
ORIGIN_GRID_ID1255 1.614e+01 1.065e-02 1515.8 <2e-16 ***
ORIGIN_GRID_ID1258 1.692e+01 2.986e-03 5666.4 <2e-16 ***
ORIGIN_GRID_ID1259 1.718e+01 2.047e-03 8392.2 <2e-16 ***
ORIGIN_GRID_ID1261 1.679e+01 2.157e-03 7784.9 <2e-16 ***
ORIGIN_GRID_ID1262 1.771e+01 1.796e-03 9859.8 <2e-16 ***
ORIGIN_GRID_ID1283 1.660e+01 2.685e-03 6183.2 <2e-16 ***
ORIGIN_GRID_ID1284 1.716e+01 2.808e-03 6113.7 <2e-16 ***
ORIGIN_GRID_ID1286 1.656e+01 3.776e-03 4385.1 <2e-16 ***
ORIGIN_GRID_ID1289 1.697e+01 1.958e-03 8664.2 <2e-16 ***
ORIGIN_GRID_ID1309 1.817e+01 1.862e-03 9761.0 <2e-16 ***
ORIGIN_GRID_ID1310 1.790e+01 1.680e-03 10654.0 <2e-16 ***
ORIGIN_GRID_ID1315 1.727e+01 1.843e-03 9374.9 <2e-16 ***
ORIGIN_GRID_ID1316 1.615e+01 3.241e-03 4983.1 <2e-16 ***
ORIGIN_GRID_ID1337 1.748e+01 1.777e-03 9834.7 <2e-16 ***
ORIGIN_GRID_ID1338 1.705e+01 5.235e-03 3257.5 <2e-16 ***
ORIGIN_GRID_ID1343 1.668e+01 2.212e-03 7542.5 <2e-16 ***
ORIGIN_GRID_ID1363 1.676e+01 3.258e-03 5143.5 <2e-16 ***
ORIGIN_GRID_ID1364 1.670e+01 2.389e-03 6989.5 <2e-16 ***
ORIGIN_GRID_ID1366 1.694e+01 2.841e-03 5961.2 <2e-16 ***
ORIGIN_GRID_ID1369 1.744e+01 1.744e-03 9999.3 <2e-16 ***
ORIGIN_GRID_ID1370 1.771e+01 1.917e-03 9239.2 <2e-16 ***
ORIGIN_GRID_ID1374 1.650e+01 2.925e-03 5641.1 <2e-16 ***
ORIGIN_GRID_ID1375 1.776e+01 3.309e-03 5365.7 <2e-16 ***
ORIGIN_GRID_ID1391 1.576e+01 4.835e-03 3260.1 <2e-16 ***
ORIGIN_GRID_ID1392 1.606e+01 3.917e-03 4100.5 <2e-16 ***
ORIGIN_GRID_ID1396 1.604e+01 5.987e-03 2679.8 <2e-16 ***
ORIGIN_GRID_ID1397 1.647e+01 2.882e-03 5715.1 <2e-16 ***
ORIGIN_GRID_ID1401 1.755e+01 2.059e-03 8524.6 <2e-16 ***
ORIGIN_GRID_ID1402 1.815e+01 1.674e-03 10838.5 <2e-16 ***
ORIGIN_GRID_ID1423 1.838e+01 5.963e-03 3083.1 <2e-16 ***
ORIGIN_GRID_ID1428 1.767e+01 1.991e-03 8873.7 <2e-16 ***
ORIGIN_GRID_ID1429 1.718e+01 3.215e-03 5342.9 <2e-16 ***
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ORIGIN_GRID_ID1456 1.776e+01 1.773e-03 10019.8 <2e-16 ***
ORIGIN_GRID_ID1471 1.722e+01 2.131e-03 8078.5 <2e-16 ***
ORIGIN_GRID_ID1482 1.735e+01 1.925e-03 9013.2 <2e-16 ***
ORIGIN_GRID_ID1499 1.722e+01 2.104e-03 8186.4 <2e-16 ***
ORIGIN_GRID_ID1509 1.673e+01 3.494e-03 4789.2 <2e-16 ***
ORIGIN_GRID_ID1510 1.837e+01 1.568e-03 11714.5 <2e-16 ***
ORIGIN_GRID_ID1525 1.670e+01 2.227e-03 7501.8 <2e-16 ***
ORIGIN_GRID_ID1536 1.720e+01 1.835e-03 9375.6 <2e-16 ***
ORIGIN_GRID_ID1537 1.681e+01 3.660e-03 4592.8 <2e-16 ***
ORIGIN_GRID_ID1552 1.352e+01 1.426e-02 947.8 <2e-16 ***
ORIGIN_GRID_ID1553 1.595e+01 2.980e-03 5352.7 <2e-16 ***
ORIGIN_GRID_ID1563 1.687e+01 3.249e-03 5191.7 <2e-16 ***
ORIGIN_GRID_ID1564 1.828e+01 1.553e-03 11776.6 <2e-16 ***
ORIGIN_GRID_ID1578 1.490e+01 7.181e-03 2075.5 <2e-16 ***
ORIGIN_GRID_ID1579 1.722e+01 2.112e-03 8153.4 <2e-16 ***
ORIGIN_GRID_ID1590 1.802e+01 1.634e-03 11028.6 <2e-16 ***
ORIGIN_GRID_ID1591 1.833e+01 1.702e-03 10770.7 <2e-16 ***
ORIGIN_GRID_ID1605 1.624e+01 2.806e-03 5785.9 <2e-16 ***
ORIGIN_GRID_ID1606 1.624e+01 2.770e-03 5860.5 <2e-16 ***
ORIGIN_GRID_ID1617 1.629e+01 5.780e-03 2818.0 <2e-16 ***
ORIGIN_GRID_ID1618 1.800e+01 1.739e-03 10348.3 <2e-16 ***
ORIGIN_GRID_ID1631 1.537e+01 5.166e-03 2975.7 <2e-16 ***
ORIGIN_GRID_ID1632 1.680e+01 2.190e-03 7673.0 <2e-16 ***
ORIGIN_GRID_ID1634 1.660e+01 3.714e-03 4471.0 <2e-16 ***
ORIGIN_GRID_ID1644 1.687e+01 2.590e-03 6514.7 <2e-16 ***
ORIGIN_GRID_ID1645 1.810e+01 1.740e-03 10401.9 <2e-16 ***
ORIGIN_GRID_ID1658 1.734e+01 2.278e-03 7613.5 <2e-16 ***
ORIGIN_GRID_ID1659 1.670e+01 2.191e-03 7622.0 <2e-16 ***
ORIGIN_GRID_ID1672 1.692e+01 3.380e-03 5007.6 <2e-16 ***
ORIGIN_GRID_ID1684 1.687e+01 2.530e-03 6668.5 <2e-16 ***
ORIGIN_GRID_ID1685 1.605e+01 3.543e-03 4531.8 <2e-16 ***
ORIGIN_GRID_ID1686 1.661e+01 2.334e-03 7116.7 <2e-16 ***
ORIGIN_GRID_ID1688 1.420e+01 1.649e-02 860.6 <2e-16 ***
ORIGIN_GRID_ID1699 1.635e+01 2.658e-03 6149.4 <2e-16 ***
ORIGIN_GRID_ID1700 1.417e+01 2.247e-02 630.6 <2e-16 ***
ORIGIN_GRID_ID1712 1.604e+01 3.563e-03 4500.9 <2e-16 ***
ORIGIN_GRID_ID1713 1.731e+01 1.771e-03 9777.9 <2e-16 ***
ORIGIN_GRID_ID1727 1.835e+01 1.551e-03 11832.7 <2e-16 ***
ORIGIN_GRID_ID1739 1.653e+01 2.217e-03 7457.2 <2e-16 ***
ORIGIN_GRID_ID1753 1.798e+01 1.693e-03 10618.9 <2e-16 ***
ORIGIN_GRID_ID1754 1.725e+01 2.645e-03 6520.2 <2e-16 ***
ORIGIN_GRID_ID1766 1.762e+01 1.736e-03 10150.4 <2e-16 ***
ORIGIN_GRID_ID1767 1.696e+01 1.769e-03 9586.6 <2e-16 ***
ORIGIN_GRID_ID1780 1.535e+01 5.804e-03 2645.2 <2e-16 ***
ORIGIN_GRID_ID1781 1.720e+01 1.854e-03 9273.8 <2e-16 ***
ORIGIN_GRID_ID1792 1.653e+01 2.539e-03 6510.0 <2e-16 ***
ORIGIN_GRID_ID1793 1.718e+01 1.733e-03 9914.0 <2e-16 ***
ORIGIN_GRID_ID1794 1.570e+01 3.637e-03 4316.1 <2e-16 ***
ORIGIN_GRID_ID1807 1.677e+01 2.128e-03 7880.5 <2e-16 ***
ORIGIN_GRID_ID1820 1.645e+01 2.636e-03 6239.8 <2e-16 ***
ORIGIN_GRID_ID1821 1.774e+01 1.627e-03 10905.3 <2e-16 ***
ORIGIN_GRID_ID1833 1.764e+01 1.618e-03 10901.7 <2e-16 ***
ORIGIN_GRID_ID1835 1.721e+01 2.414e-03 7126.8 <2e-16 ***
ORIGIN_GRID_ID1847 1.675e+01 3.839e-03 4362.3 <2e-16 ***
ORIGIN_GRID_ID1854 1.574e+01 5.680e-03 2771.7 <2e-16 ***
ORIGIN_GRID_ID1859 1.661e+01 1.899e-03 8747.4 <2e-16 ***
ORIGIN_GRID_ID1860 1.706e+01 1.812e-03 9413.2 <2e-16 ***
ORIGIN_GRID_ID1861 1.776e+01 2.000e-03 8880.5 <2e-16 ***
ORIGIN_GRID_ID1874 1.616e+01 2.892e-03 5588.5 <2e-16 ***
ORIGIN_GRID_ID1875 1.653e+01 2.030e-03 8140.8 <2e-16 ***
ORIGIN_GRID_ID1882 1.711e+01 2.042e-03 8381.8 <2e-16 ***
ORIGIN_GRID_ID1883 1.653e+01 3.324e-03 4972.6 <2e-16 ***
ORIGIN_GRID_ID1886 1.781e+01 1.718e-03 10363.0 <2e-16 ***
ORIGIN_GRID_ID1887 1.764e+01 1.654e-03 10663.8 <2e-16 ***
ORIGIN_GRID_ID1888 1.685e+01 2.607e-03 6461.5 <2e-16 ***
ORIGIN_GRID_ID1905 1.506e+01 4.630e-03 3252.9 <2e-16 ***
ORIGIN_GRID_ID1907 1.659e+01 2.673e-03 6205.7 <2e-16 ***
ORIGIN_GRID_ID1908 1.596e+01 3.485e-03 4580.8 <2e-16 ***
ORIGIN_GRID_ID1909 1.719e+01 1.854e-03 9272.4 <2e-16 ***
ORIGIN_GRID_ID1912 1.521e+01 8.549e-03 1779.0 <2e-16 ***
ORIGIN_GRID_ID1913 1.651e+01 2.254e-03 7325.5 <2e-16 ***
ORIGIN_GRID_ID1914 1.815e+01 1.609e-03 11278.7 <2e-16 ***
ORIGIN_GRID_ID1928 1.536e+01 2.983e-03 5148.6 <2e-16 ***
ORIGIN_GRID_ID1929 1.524e+01 4.122e-03 3697.8 <2e-16 ***
ORIGIN_GRID_ID1933 1.623e+01 2.964e-03 5473.4 <2e-16 ***
ORIGIN_GRID_ID1935 1.667e+01 2.580e-03 6462.1 <2e-16 ***
ORIGIN_GRID_ID1936 1.705e+01 2.078e-03 8205.0 <2e-16 ***
ORIGIN_GRID_ID1937 1.640e+01 2.799e-03 5857.9 <2e-16 ***
ORIGIN_GRID_ID1940 1.720e+01 2.231e-03 7710.0 <2e-16 ***
ORIGIN_GRID_ID1941 1.724e+01 1.943e-03 8872.4 <2e-16 ***
ORIGIN_GRID_ID1942 1.683e+01 4.272e-03 3940.9 <2e-16 ***
ORIGIN_GRID_ID1955 1.707e+01 2.035e-03 8386.4 <2e-16 ***
ORIGIN_GRID_ID1959 1.678e+01 1.997e-03 8406.6 <2e-16 ***
ORIGIN_GRID_ID1960 1.710e+01 1.871e-03 9141.8 <2e-16 ***
ORIGIN_GRID_ID1962 1.685e+01 2.152e-03 7826.4 <2e-16 ***
ORIGIN_GRID_ID1963 1.609e+01 2.360e-03 6819.6 <2e-16 ***
ORIGIN_GRID_ID1967 1.838e+01 1.628e-03 11287.9 <2e-16 ***
ORIGIN_GRID_ID1968 1.853e+01 1.745e-03 10615.1 <2e-16 ***
ORIGIN_GRID_ID1985 1.532e+01 3.243e-03 4723.9 <2e-16 ***
ORIGIN_GRID_ID1987 1.754e+01 1.620e-03 10831.9 <2e-16 ***
ORIGIN_GRID_ID1988 1.610e+01 2.546e-03 6322.5 <2e-16 ***
ORIGIN_GRID_ID1989 1.636e+01 2.605e-03 6279.5 <2e-16 ***
ORIGIN_GRID_ID1990 1.807e+01 1.559e-03 11590.2 <2e-16 ***
ORIGIN_GRID_ID1994 1.646e+01 5.302e-03 3103.6 <2e-16 ***
ORIGIN_GRID_ID1995 1.865e+01 1.639e-03 11382.5 <2e-16 ***
ORIGIN_GRID_ID2010 1.534e+01 2.516e-03 6099.0 <2e-16 ***
ORIGIN_GRID_ID2011 1.640e+01 1.809e-03 9067.9 <2e-16 ***
ORIGIN_GRID_ID2012 1.549e+01 3.826e-03 4048.4 <2e-16 ***
ORIGIN_GRID_ID2013 1.637e+01 2.209e-03 7410.4 <2e-16 ***
ORIGIN_GRID_ID2014 1.669e+01 2.013e-03 8291.7 <2e-16 ***
ORIGIN_GRID_ID2015 1.670e+01 2.843e-03 5874.5 <2e-16 ***
ORIGIN_GRID_ID2016 1.689e+01 2.051e-03 8234.5 <2e-16 ***
ORIGIN_GRID_ID2017 1.688e+01 2.066e-03 8171.5 <2e-16 ***
ORIGIN_GRID_ID2021 1.680e+01 3.456e-03 4860.6 <2e-16 ***
ORIGIN_GRID_ID2038 1.564e+01 1.870e-03 8361.5 <2e-16 ***
ORIGIN_GRID_ID2039 1.714e+01 2.291e-03 7480.1 <2e-16 ***
ORIGIN_GRID_ID2040 1.731e+01 1.746e-03 9915.5 <2e-16 ***
ORIGIN_GRID_ID2041 1.818e+01 1.584e-03 11477.7 <2e-16 ***
ORIGIN_GRID_ID2042 1.667e+01 2.558e-03 6516.3 <2e-16 ***
ORIGIN_GRID_ID2043 1.541e+01 4.986e-03 3091.2 <2e-16 ***
ORIGIN_GRID_ID2044 1.789e+01 1.605e-03 11147.3 <2e-16 ***
ORIGIN_GRID_ID2064 1.330e+01 8.910e-03 1492.8 <2e-16 ***
ORIGIN_GRID_ID2065 1.556e+01 2.483e-03 6265.7 <2e-16 ***
ORIGIN_GRID_ID2066 1.590e+01 2.491e-03 6381.0 <2e-16 ***
ORIGIN_GRID_ID2067 1.721e+01 2.177e-03 7903.9 <2e-16 ***
ORIGIN_GRID_ID2068 1.729e+01 2.150e-03 8041.0 <2e-16 ***
ORIGIN_GRID_ID2070 1.739e+01 2.310e-03 7529.8 <2e-16 ***
ORIGIN_GRID_ID2071 1.675e+01 2.988e-03 5606.3 <2e-16 ***
ORIGIN_GRID_ID2093 1.586e+01 2.038e-03 7780.9 <2e-16 ***
ORIGIN_GRID_ID2094 1.700e+01 2.314e-03 7346.8 <2e-16 ***
ORIGIN_GRID_ID2095 1.765e+01 2.736e-03 6450.4 <2e-16 ***
ORIGIN_GRID_ID2098 1.589e+01 4.140e-03 3838.0 <2e-16 ***
ORIGIN_GRID_ID2119 1.629e+01 2.404e-03 6779.1 <2e-16 ***
ORIGIN_GRID_ID2120 1.602e+01 2.700e-03 5933.7 <2e-16 ***
ORIGIN_GRID_ID2123 1.655e+01 2.271e-03 7287.3 <2e-16 ***
ORIGIN_GRID_ID2147 1.641e+01 2.035e-03 8064.3 <2e-16 ***
ORIGIN_GRID_ID2148 1.739e+01 1.709e-03 10174.9 <2e-16 ***
ORIGIN_GRID_ID2149 1.656e+01 2.802e-03 5912.1 <2e-16 ***
ORIGIN_GRID_ID2150 1.523e+01 4.185e-03 3638.8 <2e-16 ***
ORIGIN_GRID_ID2151 1.621e+01 2.691e-03 6025.2 <2e-16 ***
ORIGIN_GRID_ID2152 1.712e+01 2.404e-03 7120.2 <2e-16 ***
ORIGIN_GRID_ID2154 1.652e+01 3.033e-03 5447.7 <2e-16 ***
ORIGIN_GRID_ID2174 1.587e+01 3.764e-03 4217.3 <2e-16 ***
ORIGIN_GRID_ID2177 1.786e+01 1.629e-03 10961.8 <2e-16 ***
ORIGIN_GRID_ID2178 1.697e+01 1.875e-03 9055.6 <2e-16 ***
ORIGIN_GRID_ID2179 1.729e+01 2.120e-03 8155.7 <2e-16 ***
ORIGIN_GRID_ID2180 1.706e+01 2.575e-03 6624.2 <2e-16 ***
ORIGIN_GRID_ID2201 1.702e+01 1.936e-03 8789.2 <2e-16 ***
ORIGIN_GRID_ID2203 1.677e+01 3.262e-03 5143.0 <2e-16 ***
ORIGIN_GRID_ID2204 1.574e+01 3.336e-03 4716.7 <2e-16 ***
ORIGIN_GRID_ID2205 1.625e+01 2.091e-03 7769.7 <2e-16 ***
ORIGIN_GRID_ID2206 1.822e+01 1.583e-03 11516.0 <2e-16 ***
ORIGIN_GRID_ID2208 1.768e+01 2.059e-03 8590.0 <2e-16 ***
ORIGIN_GRID_ID2228 1.657e+01 2.223e-03 7453.3 <2e-16 ***
ORIGIN_GRID_ID2231 1.664e+01 2.058e-03 8085.6 <2e-16 ***
ORIGIN_GRID_ID2233 1.821e+01 1.586e-03 11480.7 <2e-16 ***
ORIGIN_GRID_ID2234 1.453e+01 2.494e-02 582.6 <2e-16 ***
ORIGIN_GRID_ID2235 1.434e+01 2.054e-02 698.0 <2e-16 ***
ORIGIN_GRID_ID2254 1.544e+01 7.921e-03 1949.2 <2e-16 ***
ORIGIN_GRID_ID2255 1.682e+01 2.289e-03 7346.9 <2e-16 ***
ORIGIN_GRID_ID2256 1.647e+01 2.350e-03 7008.3 <2e-16 ***
ORIGIN_GRID_ID2257 1.522e+01 1.229e-02 1238.7 <2e-16 ***
ORIGIN_GRID_ID2259 1.544e+01 5.622e-03 2746.4 <2e-16 ***
ORIGIN_GRID_ID2260 1.771e+01 1.755e-03 10088.9 <2e-16 ***
ORIGIN_GRID_ID2261 1.791e+01 1.696e-03 10562.9 <2e-16 ***
ORIGIN_GRID_ID2262 1.680e+01 2.816e-03 5967.7 <2e-16 ***
ORIGIN_GRID_ID2281 1.672e+01 3.003e-03 5566.0 <2e-16 ***
ORIGIN_GRID_ID2282 1.631e+01 2.711e-03 6013.6 <2e-16 ***
ORIGIN_GRID_ID2283 1.697e+01 1.920e-03 8838.4 <2e-16 ***
ORIGIN_GRID_ID2285 1.764e+01 1.770e-03 9963.0 <2e-16 ***
ORIGIN_GRID_ID2286 1.635e+01 2.817e-03 5801.6 <2e-16 ***
ORIGIN_GRID_ID2287 1.821e+01 1.564e-03 11637.2 <2e-16 ***
ORIGIN_GRID_ID2288 1.591e+01 4.613e-03 3449.7 <2e-16 ***
ORIGIN_GRID_ID2310 1.648e+01 2.241e-03 7352.8 <2e-16 ***
ORIGIN_GRID_ID2312 1.462e+01 1.063e-02 1375.6 <2e-16 ***
ORIGIN_GRID_ID2313 1.694e+01 1.943e-03 8720.5 <2e-16 ***
ORIGIN_GRID_ID2314 1.742e+01 1.605e-03 10854.0 <2e-16 ***
ORIGIN_GRID_ID2315 1.679e+01 2.163e-03 7761.0 <2e-16 ***
ORIGIN_GRID_ID2316 1.788e+01 1.559e-03 11466.6 <2e-16 ***
ORIGIN_GRID_ID2335 1.451e+01 1.078e-02 1345.3 <2e-16 ***
ORIGIN_GRID_ID2339 1.681e+01 2.605e-03 6453.6 <2e-16 ***
ORIGIN_GRID_ID2340 1.760e+01 1.690e-03 10412.6 <2e-16 ***
ORIGIN_GRID_ID2341 1.723e+01 1.749e-03 9856.6 <2e-16 ***
ORIGIN_GRID_ID2342 1.661e+01 1.907e-03 8708.0 <2e-16 ***
ORIGIN_GRID_ID2343 1.673e+01 2.416e-03 6925.7 <2e-16 ***
ORIGIN_GRID_ID2363 1.620e+01 3.378e-03 4796.0 <2e-16 ***
ORIGIN_GRID_ID2367 1.667e+01 2.787e-03 5981.5 <2e-16 ***
ORIGIN_GRID_ID2368 1.739e+01 1.872e-03 9289.0 <2e-16 ***
ORIGIN_GRID_ID2369 1.695e+01 2.118e-03 8004.5 <2e-16 ***
ORIGIN_GRID_ID2370 1.738e+01 1.702e-03 10210.7 <2e-16 ***
ORIGIN_GRID_ID2371 1.741e+01 1.812e-03 9610.8 <2e-16 ***
ORIGIN_GRID_ID2390 1.639e+01 2.762e-03 5933.7 <2e-16 ***
ORIGIN_GRID_ID2391 1.641e+01 2.537e-03 6467.9 <2e-16 ***
ORIGIN_GRID_ID2394 1.584e+01 4.468e-03 3545.7 <2e-16 ***
ORIGIN_GRID_ID2395 1.787e+01 1.706e-03 10475.2 <2e-16 ***
ORIGIN_GRID_ID2396 1.742e+01 1.632e-03 10677.0 <2e-16 ***
ORIGIN_GRID_ID2397 1.654e+01 2.443e-03 6771.5 <2e-16 ***
ORIGIN_GRID_ID2398 1.688e+01 2.465e-03 6847.7 <2e-16 ***
ORIGIN_GRID_ID2418 1.647e+01 3.090e-03 5331.0 <2e-16 ***
ORIGIN_GRID_ID2419 1.580e+01 4.073e-03 3878.2 <2e-16 ***
ORIGIN_GRID_ID2422 1.636e+01 6.285e-03 2603.4 <2e-16 ***
ORIGIN_GRID_ID2423 1.673e+01 2.553e-03 6554.3 <2e-16 ***
ORIGIN_GRID_ID2424 1.770e+01 1.581e-03 11193.1 <2e-16 ***
ORIGIN_GRID_ID2425 1.716e+01 1.840e-03 9329.2 <2e-16 ***
ORIGIN_GRID_ID2426 1.645e+01 3.722e-03 4419.2 <2e-16 ***
ORIGIN_GRID_ID2443 1.699e+01 2.218e-03 7660.4 <2e-16 ***
ORIGIN_GRID_ID2445 1.724e+01 1.839e-03 9375.6 <2e-16 ***
ORIGIN_GRID_ID2449 1.737e+01 3.075e-03 5650.3 <2e-16 ***
ORIGIN_GRID_ID2450 1.719e+01 1.995e-03 8615.7 <2e-16 ***
ORIGIN_GRID_ID2451 1.766e+01 1.657e-03 10657.3 <2e-16 ***
ORIGIN_GRID_ID2472 1.501e+01 1.801e-02 833.5 <2e-16 ***
ORIGIN_GRID_ID2473 1.703e+01 2.366e-03 7196.1 <2e-16 ***
ORIGIN_GRID_ID2478 1.679e+01 2.208e-03 7601.2 <2e-16 ***
ORIGIN_GRID_ID2479 1.552e+01 5.926e-03 2618.6 <2e-16 ***
ORIGIN_GRID_ID2497 1.726e+01 2.010e-03 8585.5 <2e-16 ***
ORIGIN_GRID_ID2499 1.753e+01 2.326e-03 7535.7 <2e-16 ***
ORIGIN_GRID_ID2505 1.693e+01 2.352e-03 7198.3 <2e-16 ***
ORIGIN_GRID_ID2527 1.737e+01 2.010e-03 8645.1 <2e-16 ***
ORIGIN_GRID_ID2532 1.697e+01 2.583e-03 6569.2 <2e-16 ***
ORIGIN_GRID_ID2533 1.724e+01 3.091e-03 5576.2 <2e-16 ***
ORIGIN_GRID_ID2551 1.672e+01 2.922e-03 5721.9 <2e-16 ***
ORIGIN_GRID_ID2553 1.685e+01 4.119e-03 4090.0 <2e-16 ***
ORIGIN_GRID_ID2554 1.554e+01 6.321e-03 2458.3 <2e-16 ***
ORIGIN_GRID_ID2559 1.697e+01 2.976e-03 5704.4 <2e-16 ***
ORIGIN_GRID_ID2580 1.740e+01 2.029e-03 8574.9 <2e-16 ***
ORIGIN_GRID_ID2581 1.664e+01 3.690e-03 4509.0 <2e-16 ***
ORIGIN_GRID_ID2607 1.796e+01 1.657e-03 10838.1 <2e-16 ***
ORIGIN_GRID_ID2608 1.631e+01 3.939e-03 4141.2 <2e-16 ***
ORIGIN_GRID_ID2634 1.777e+01 1.811e-03 9809.6 <2e-16 ***
ORIGIN_GRID_ID2635 1.787e+01 2.035e-03 8783.6 <2e-16 ***
ORIGIN_GRID_ID2636 1.732e+01 2.310e-03 7495.5 <2e-16 ***
ORIGIN_GRID_ID2661 1.732e+01 1.844e-03 9388.4 <2e-16 ***
ORIGIN_GRID_ID2663 1.794e+01 1.614e-03 11118.6 <2e-16 ***
ORIGIN_GRID_ID2665 1.699e+01 2.668e-03 6368.3 <2e-16 ***
ORIGIN_GRID_ID2688 1.736e+01 1.952e-03 8891.5 <2e-16 ***
ORIGIN_GRID_ID2689 1.737e+01 2.063e-03 8419.2 <2e-16 ***
ORIGIN_GRID_ID2690 1.639e+01 2.578e-03 6356.9 <2e-16 ***
ORIGIN_GRID_ID2691 1.807e+01 1.648e-03 10965.6 <2e-16 ***
ORIGIN_GRID_ID2693 1.770e+01 1.910e-03 9268.7 <2e-16 ***
ORIGIN_GRID_ID2715 1.786e+01 1.938e-03 9211.8 <2e-16 ***
ORIGIN_GRID_ID2717 1.666e+01 1.928e-03 8643.5 <2e-16 ***
ORIGIN_GRID_ID2718 1.714e+01 2.538e-03 6753.9 <2e-16 ***
ORIGIN_GRID_ID2719 1.798e+01 1.649e-03 10906.6 <2e-16 ***
ORIGIN_GRID_ID2742 1.715e+01 2.403e-03 7137.0 <2e-16 ***
ORIGIN_GRID_ID2743 1.613e+01 5.075e-03 3178.4 <2e-16 ***
ORIGIN_GRID_ID2744 1.694e+01 1.999e-03 8477.3 <2e-16 ***
ORIGIN_GRID_ID2745 1.689e+01 1.886e-03 8953.2 <2e-16 ***
ORIGIN_GRID_ID2747 1.690e+01 2.400e-03 7039.8 <2e-16 ***
ORIGIN_GRID_ID2768 1.748e+01 2.226e-03 7852.0 <2e-16 ***
ORIGIN_GRID_ID2771 1.763e+01 1.712e-03 10294.0 <2e-16 ***
ORIGIN_GRID_ID2773 1.723e+01 1.978e-03 8710.8 <2e-16 ***
ORIGIN_GRID_ID2798 1.639e+01 2.920e-03 5613.6 <2e-16 ***
ORIGIN_GRID_ID2799 1.714e+01 1.785e-03 9602.6 <2e-16 ***
ORIGIN_GRID_ID2800 1.719e+01 2.040e-03 8427.4 <2e-16 ***
ORIGIN_GRID_ID2824 1.642e+01 2.878e-03 5707.6 <2e-16 ***
ORIGIN_GRID_ID2825 1.720e+01 1.716e-03 10022.9 <2e-16 ***
ORIGIN_GRID_ID2826 1.731e+01 2.261e-03 7657.5 <2e-16 ***
ORIGIN_GRID_ID2827 1.751e+01 1.915e-03 9143.2 <2e-16 ***
ORIGIN_GRID_ID2852 1.740e+01 1.971e-03 8829.9 <2e-16 ***
ORIGIN_GRID_ID2853 1.738e+01 1.669e-03 10412.4 <2e-16 ***
ORIGIN_GRID_ID2854 1.787e+01 1.713e-03 10431.5 <2e-16 ***
ORIGIN_GRID_ID2878 1.676e+01 2.782e-03 6023.3 <2e-16 ***
ORIGIN_GRID_ID2879 1.712e+01 2.044e-03 8378.9 <2e-16 ***
ORIGIN_GRID_ID2880 1.711e+01 2.058e-03 8315.0 <2e-16 ***
ORIGIN_GRID_ID2881 1.837e+01 1.750e-03 10499.6 <2e-16 ***
ORIGIN_GRID_ID2907 1.716e+01 2.399e-03 7151.5 <2e-16 ***
ORIGIN_GRID_ID2908 1.759e+01 2.007e-03 8761.8 <2e-16 ***
ORIGIN_GRID_ID2933 1.530e+01 7.912e-03 1934.0 <2e-16 ***
ORIGIN_GRID_ID2934 1.686e+01 2.563e-03 6579.5 <2e-16 ***
ORIGIN_GRID_ID3098 1.660e+01 5.416e-03 3064.1 <2e-16 ***
log(TDESTIN_BIZ_COUNT) 2.678e-02 1.005e-04 266.4 <2e-16 ***
log(TDESTIN_FINSERV_COUNT) 2.693e-01 9.400e-05 2864.9 <2e-16 ***
log(TDESTIN_MRTEXIT_COUNT) 6.207e-01 1.500e-04 4136.9 <2e-16 ***
log(TDESTIN_BUSSTOP_COUNT) 1.294e-01 2.503e-04 517.0 <2e-16 ***
log(TDESTIN_HDBCOMM_UNITS) 3.644e-02 6.003e-05 607.1 <2e-16 ***
log(TDESTIN_HDBRES_UNITS) -2.590e-02 1.391e-04 -186.2 <2e-16 ***
log(TDESTIN_SCHOOLS_COUNT) 3.070e-01 2.282e-04 1345.1 <2e-16 ***
log(DISTANCE) -1.466e+00 1.266e-04 -11575.0 <2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(Dispersion parameter for poisson family taken to be 1)
Null deviance: 2876477793 on 101668 degrees of freedom
Residual deviance: 149532408 on 101312 degrees of freedom
AIC: 150290729
Number of Fisher Scoring iterations: 6CalcRSquared(orcSIM_Poisson4$data$TRIPS, orcSIM_Poisson4$fitted.values)[1] 0.6215009decSIM_Poisson4 <- glm(formula = TRIPS ~
DESTIN_GRID_ID +
log(TORIGIN_BIZ_COUNT) +
log(TORIGIN_FINSERV_COUNT) +
log(TORIGIN_MRTEXIT_COUNT) +
log(TORIGIN_BUSSTOP_COUNT) +
log(TORIGIN_HDBCOMM_UNITS) +
log(TORIGIN_HDBRES_UNITS) +
log(TORIGIN_SCHOOLS_COUNT) +
log(DISTANCE) - 1,
family = poisson(link = "log"),
data = inter_zonal_flow1,
na.action = na.exclude)
summary(decSIM_Poisson4)
Call:
glm(formula = TRIPS ~ DESTIN_GRID_ID + log(TORIGIN_BIZ_COUNT) +
log(TORIGIN_FINSERV_COUNT) + log(TORIGIN_MRTEXIT_COUNT) +
log(TORIGIN_BUSSTOP_COUNT) + log(TORIGIN_HDBCOMM_UNITS) +
log(TORIGIN_HDBRES_UNITS) + log(TORIGIN_SCHOOLS_COUNT) +
log(DISTANCE) - 1, family = poisson(link = "log"), data = inter_zonal_flow1,
na.action = na.exclude)
Coefficients:
Estimate Std. Error z value Pr(>|z|)
DESTIN_GRID_ID664 1.411e+01 4.596e-03 3069.630 < 2e-16 ***
DESTIN_GRID_ID718 1.393e+01 1.976e-03 7050.301 < 2e-16 ***
DESTIN_GRID_ID745 1.234e+01 3.086e-03 3999.637 < 2e-16 ***
DESTIN_GRID_ID746 1.320e+01 2.390e-03 5524.947 < 2e-16 ***
DESTIN_GRID_ID772 1.440e+01 1.631e-03 8824.931 < 2e-16 ***
DESTIN_GRID_ID799 1.446e+01 1.853e-03 7802.283 < 2e-16 ***
DESTIN_GRID_ID800 1.328e+01 1.959e-03 6779.892 < 2e-16 ***
DESTIN_GRID_ID826 1.525e+01 1.614e-03 9445.913 < 2e-16 ***
DESTIN_GRID_ID827 1.417e+01 2.154e-03 6577.737 < 2e-16 ***
DESTIN_GRID_ID854 1.297e+01 2.599e-03 4991.964 < 2e-16 ***
DESTIN_GRID_ID880 1.242e+01 3.595e-03 3455.464 < 2e-16 ***
DESTIN_GRID_ID881 1.299e+01 3.612e-03 3596.857 < 2e-16 ***
DESTIN_GRID_ID908 1.337e+01 2.126e-03 6287.073 < 2e-16 ***
DESTIN_GRID_ID934 1.373e+01 2.039e-03 6733.251 < 2e-16 ***
DESTIN_GRID_ID935 1.339e+01 2.287e-03 5854.102 < 2e-16 ***
DESTIN_GRID_ID961 1.327e+01 2.500e-03 5307.049 < 2e-16 ***
DESTIN_GRID_ID962 1.536e+01 1.575e-03 9754.991 < 2e-16 ***
DESTIN_GRID_ID987 1.434e+01 1.835e-03 7813.299 < 2e-16 ***
DESTIN_GRID_ID988 1.240e+01 3.427e-03 3619.030 < 2e-16 ***
DESTIN_GRID_ID989 1.354e+01 2.131e-03 6353.711 < 2e-16 ***
DESTIN_GRID_ID1015 1.109e+01 8.499e-03 1304.500 < 2e-16 ***
DESTIN_GRID_ID1016 1.269e+01 2.660e-03 4771.515 < 2e-16 ***
DESTIN_GRID_ID1043 1.332e+01 3.087e-03 4314.896 < 2e-16 ***
DESTIN_GRID_ID1068 1.138e+01 2.065e-02 551.035 < 2e-16 ***
DESTIN_GRID_ID1070 1.362e+01 2.000e-03 6808.228 < 2e-16 ***
DESTIN_GRID_ID1096 1.319e+01 2.160e-03 6106.978 < 2e-16 ***
DESTIN_GRID_ID1097 1.282e+01 2.999e-03 4273.618 < 2e-16 ***
DESTIN_GRID_ID1099 1.349e+01 2.147e-03 6284.002 < 2e-16 ***
DESTIN_GRID_ID1122 1.392e+01 2.472e-03 5630.029 < 2e-16 ***
DESTIN_GRID_ID1123 1.493e+01 1.621e-03 9210.705 < 2e-16 ***
DESTIN_GRID_ID1124 1.349e+01 2.147e-03 6281.108 < 2e-16 ***
DESTIN_GRID_ID1125 1.280e+01 2.976e-03 4302.060 < 2e-16 ***
DESTIN_GRID_ID1127 1.302e+01 2.348e-03 5546.149 < 2e-16 ***
DESTIN_GRID_ID1128 1.370e+01 2.745e-03 4991.138 < 2e-16 ***
DESTIN_GRID_ID1148 1.309e+01 3.192e-03 4102.538 < 2e-16 ***
DESTIN_GRID_ID1150 1.353e+01 2.049e-03 6605.560 < 2e-16 ***
DESTIN_GRID_ID1151 1.300e+01 2.360e-03 5506.781 < 2e-16 ***
DESTIN_GRID_ID1152 1.270e+01 3.522e-03 3606.952 < 2e-16 ***
DESTIN_GRID_ID1153 1.341e+01 2.219e-03 6044.397 < 2e-16 ***
DESTIN_GRID_ID1154 1.507e+01 1.646e-03 9156.771 < 2e-16 ***
DESTIN_GRID_ID1155 1.042e+01 1.727e-02 603.087 < 2e-16 ***
DESTIN_GRID_ID1176 1.401e+01 2.035e-03 6884.083 < 2e-16 ***
DESTIN_GRID_ID1178 1.292e+01 2.270e-03 5691.640 < 2e-16 ***
DESTIN_GRID_ID1179 1.217e+01 3.325e-03 3659.796 < 2e-16 ***
DESTIN_GRID_ID1180 1.063e+01 1.021e-02 1041.383 < 2e-16 ***
DESTIN_GRID_ID1181 1.376e+01 1.863e-03 7384.959 < 2e-16 ***
DESTIN_GRID_ID1182 1.327e+01 2.359e-03 5625.747 < 2e-16 ***
DESTIN_GRID_ID1183 1.315e+01 5.061e-03 2598.262 < 2e-16 ***
DESTIN_GRID_ID1205 1.455e+01 1.657e-03 8782.855 < 2e-16 ***
DESTIN_GRID_ID1206 1.335e+01 2.357e-03 5666.434 < 2e-16 ***
DESTIN_GRID_ID1207 1.317e+01 2.539e-03 5186.290 < 2e-16 ***
DESTIN_GRID_ID1209 1.482e+01 1.786e-03 8297.218 < 2e-16 ***
DESTIN_GRID_ID1232 1.376e+01 1.926e-03 7145.403 < 2e-16 ***
DESTIN_GRID_ID1233 1.438e+01 2.242e-03 6414.371 < 2e-16 ***
DESTIN_GRID_ID1235 1.412e+01 2.001e-03 7057.737 < 2e-16 ***
DESTIN_GRID_ID1255 1.414e+01 5.672e-03 2492.787 < 2e-16 ***
DESTIN_GRID_ID1258 1.448e+01 2.027e-03 7146.249 < 2e-16 ***
DESTIN_GRID_ID1259 1.300e+01 2.757e-03 4715.937 < 2e-16 ***
DESTIN_GRID_ID1261 1.289e+01 2.537e-03 5080.590 < 2e-16 ***
DESTIN_GRID_ID1262 1.337e+01 2.191e-03 6101.903 < 2e-16 ***
DESTIN_GRID_ID1283 1.312e+01 2.789e-03 4704.539 < 2e-16 ***
DESTIN_GRID_ID1284 1.270e+01 4.688e-03 2709.861 < 2e-16 ***
DESTIN_GRID_ID1286 1.209e+01 4.576e-03 2642.245 < 2e-16 ***
DESTIN_GRID_ID1289 1.385e+01 1.782e-03 7769.743 < 2e-16 ***
DESTIN_GRID_ID1309 1.429e+01 2.172e-03 6580.531 < 2e-16 ***
DESTIN_GRID_ID1310 1.497e+01 1.636e-03 9150.318 < 2e-16 ***
DESTIN_GRID_ID1315 1.460e+01 1.675e-03 8714.463 < 2e-16 ***
DESTIN_GRID_ID1316 1.235e+01 3.723e-03 3317.462 < 2e-16 ***
DESTIN_GRID_ID1337 1.328e+01 2.184e-03 6078.320 < 2e-16 ***
DESTIN_GRID_ID1338 1.253e+01 5.832e-03 2147.658 < 2e-16 ***
DESTIN_GRID_ID1343 1.238e+01 2.944e-03 4204.260 < 2e-16 ***
DESTIN_GRID_ID1363 1.405e+01 2.496e-03 5630.967 < 2e-16 ***
DESTIN_GRID_ID1364 1.283e+01 3.012e-03 4260.794 < 2e-16 ***
DESTIN_GRID_ID1366 1.326e+01 2.886e-03 4595.010 < 2e-16 ***
DESTIN_GRID_ID1369 1.345e+01 2.198e-03 6118.225 < 2e-16 ***
DESTIN_GRID_ID1370 1.328e+01 2.427e-03 5473.693 < 2e-16 ***
DESTIN_GRID_ID1374 1.266e+01 3.243e-03 3903.289 < 2e-16 ***
DESTIN_GRID_ID1375 1.304e+01 5.625e-03 2317.928 < 2e-16 ***
DESTIN_GRID_ID1391 1.292e+01 4.010e-03 3222.446 < 2e-16 ***
DESTIN_GRID_ID1392 1.180e+01 6.546e-03 1803.172 < 2e-16 ***
DESTIN_GRID_ID1396 1.172e+01 8.298e-03 1412.510 < 2e-16 ***
DESTIN_GRID_ID1397 1.291e+01 2.669e-03 4835.587 < 2e-16 ***
DESTIN_GRID_ID1401 1.449e+01 1.866e-03 7764.771 < 2e-16 ***
DESTIN_GRID_ID1402 1.355e+01 2.154e-03 6291.867 < 2e-16 ***
DESTIN_GRID_ID1423 1.300e+01 4.294e-03 3028.269 < 2e-16 ***
DESTIN_GRID_ID1428 1.296e+01 2.708e-03 4786.784 < 2e-16 ***
DESTIN_GRID_ID1429 1.360e+01 2.895e-03 4699.371 < 2e-16 ***
DESTIN_GRID_ID1455 1.284e+01 2.758e-03 4653.229 < 2e-16 ***
DESTIN_GRID_ID1456 1.308e+01 2.553e-03 5125.604 < 2e-16 ***
DESTIN_GRID_ID1471 1.351e+01 2.980e-03 4534.504 < 2e-16 ***
DESTIN_GRID_ID1482 1.446e+01 1.783e-03 8105.722 < 2e-16 ***
DESTIN_GRID_ID1499 1.268e+01 4.673e-03 2714.387 < 2e-16 ***
DESTIN_GRID_ID1509 1.234e+01 4.745e-03 2600.976 < 2e-16 ***
DESTIN_GRID_ID1510 1.526e+01 1.601e-03 9526.597 < 2e-16 ***
DESTIN_GRID_ID1525 1.403e+01 1.905e-03 7365.747 < 2e-16 ***
DESTIN_GRID_ID1536 1.381e+01 1.854e-03 7447.753 < 2e-16 ***
DESTIN_GRID_ID1537 1.391e+01 2.738e-03 5080.645 < 2e-16 ***
DESTIN_GRID_ID1552 1.151e+01 9.412e-03 1223.267 < 2e-16 ***
DESTIN_GRID_ID1553 1.294e+01 3.214e-03 4025.075 < 2e-16 ***
DESTIN_GRID_ID1563 1.361e+01 2.446e-03 5563.871 < 2e-16 ***
DESTIN_GRID_ID1564 1.364e+01 1.856e-03 7349.062 < 2e-16 ***
DESTIN_GRID_ID1578 1.164e+01 6.338e-03 1836.810 < 2e-16 ***
DESTIN_GRID_ID1579 1.379e+01 2.160e-03 6384.075 < 2e-16 ***
DESTIN_GRID_ID1590 1.335e+01 2.142e-03 6233.518 < 2e-16 ***
DESTIN_GRID_ID1591 1.378e+01 2.131e-03 6467.685 < 2e-16 ***
DESTIN_GRID_ID1605 1.324e+01 2.503e-03 5290.048 < 2e-16 ***
DESTIN_GRID_ID1606 1.320e+01 2.577e-03 5123.418 < 2e-16 ***
DESTIN_GRID_ID1617 1.217e+01 6.541e-03 1860.682 < 2e-16 ***
DESTIN_GRID_ID1618 1.516e+01 1.624e-03 9339.322 < 2e-16 ***
DESTIN_GRID_ID1631 1.286e+01 3.196e-03 4022.076 < 2e-16 ***
DESTIN_GRID_ID1632 1.296e+01 2.667e-03 4858.398 < 2e-16 ***
DESTIN_GRID_ID1634 1.293e+01 4.426e-03 2920.649 < 2e-16 ***
DESTIN_GRID_ID1644 1.343e+01 2.461e-03 5458.130 < 2e-16 ***
DESTIN_GRID_ID1645 1.388e+01 2.052e-03 6764.451 < 2e-16 ***
DESTIN_GRID_ID1658 1.277e+01 3.320e-03 3845.619 < 2e-16 ***
DESTIN_GRID_ID1659 1.352e+01 2.030e-03 6658.629 < 2e-16 ***
DESTIN_GRID_ID1672 1.336e+01 3.541e-03 3772.202 < 2e-16 ***
DESTIN_GRID_ID1684 1.343e+01 2.444e-03 5495.499 < 2e-16 ***
DESTIN_GRID_ID1685 1.314e+01 3.442e-03 3817.795 < 2e-16 ***
DESTIN_GRID_ID1686 1.316e+01 2.488e-03 5291.254 < 2e-16 ***
DESTIN_GRID_ID1688 1.260e+01 5.944e-03 2120.298 < 2e-16 ***
DESTIN_GRID_ID1699 1.351e+01 2.212e-03 6108.636 < 2e-16 ***
DESTIN_GRID_ID1700 1.306e+01 5.999e-03 2177.781 < 2e-16 ***
DESTIN_GRID_ID1712 1.207e+01 3.983e-03 3031.588 < 2e-16 ***
DESTIN_GRID_ID1713 1.389e+01 1.842e-03 7542.344 < 2e-16 ***
DESTIN_GRID_ID1727 1.370e+01 2.013e-03 6808.929 < 2e-16 ***
DESTIN_GRID_ID1739 1.401e+01 1.760e-03 7959.467 < 2e-16 ***
DESTIN_GRID_ID1753 1.503e+01 1.592e-03 9443.417 < 2e-16 ***
DESTIN_GRID_ID1754 1.319e+01 2.753e-03 4791.551 < 2e-16 ***
DESTIN_GRID_ID1766 1.346e+01 2.003e-03 6720.958 < 2e-16 ***
DESTIN_GRID_ID1767 1.345e+01 1.938e-03 6941.139 < 2e-16 ***
DESTIN_GRID_ID1780 1.290e+01 1.006e-02 1282.768 < 2e-16 ***
DESTIN_GRID_ID1781 1.322e+01 2.385e-03 5541.707 < 2e-16 ***
DESTIN_GRID_ID1792 1.255e+01 3.061e-03 4100.792 < 2e-16 ***
DESTIN_GRID_ID1793 1.372e+01 1.858e-03 7388.149 < 2e-16 ***
DESTIN_GRID_ID1794 1.265e+01 3.569e-03 3543.418 < 2e-16 ***
DESTIN_GRID_ID1807 1.201e+01 3.416e-03 3515.530 < 2e-16 ***
DESTIN_GRID_ID1820 1.288e+01 2.780e-03 4632.733 < 2e-16 ***
DESTIN_GRID_ID1821 1.442e+01 1.702e-03 8472.701 < 2e-16 ***
DESTIN_GRID_ID1833 1.398e+01 1.765e-03 7916.872 < 2e-16 ***
DESTIN_GRID_ID1835 1.234e+01 3.639e-03 3389.950 < 2e-16 ***
DESTIN_GRID_ID1847 1.166e+01 9.244e-03 1261.836 < 2e-16 ***
DESTIN_GRID_ID1854 1.300e+01 3.548e-03 3664.431 < 2e-16 ***
DESTIN_GRID_ID1859 1.277e+01 2.202e-03 5799.728 < 2e-16 ***
DESTIN_GRID_ID1860 1.301e+01 2.283e-03 5698.485 < 2e-16 ***
DESTIN_GRID_ID1861 1.275e+01 3.488e-03 3654.776 < 2e-16 ***
DESTIN_GRID_ID1874 1.321e+01 2.445e-03 5404.812 < 2e-16 ***
DESTIN_GRID_ID1875 1.359e+01 1.967e-03 6906.887 < 2e-16 ***
DESTIN_GRID_ID1882 1.382e+01 2.036e-03 6788.004 < 2e-16 ***
DESTIN_GRID_ID1883 1.241e+01 3.781e-03 3282.010 < 2e-16 ***
DESTIN_GRID_ID1886 1.496e+01 1.655e-03 9038.184 < 2e-16 ***
DESTIN_GRID_ID1887 1.511e+01 1.561e-03 9680.416 < 2e-16 ***
DESTIN_GRID_ID1888 1.285e+01 3.492e-03 3680.293 < 2e-16 ***
DESTIN_GRID_ID1905 1.236e+01 3.955e-03 3124.821 < 2e-16 ***
DESTIN_GRID_ID1907 1.328e+01 2.540e-03 5230.064 < 2e-16 ***
DESTIN_GRID_ID1908 1.262e+01 3.240e-03 3894.878 < 2e-16 ***
DESTIN_GRID_ID1909 1.300e+01 2.488e-03 5226.347 < 2e-16 ***
DESTIN_GRID_ID1912 9.915e+00 2.099e-02 472.375 < 2e-16 ***
DESTIN_GRID_ID1913 1.312e+01 2.159e-03 6075.988 < 2e-16 ***
DESTIN_GRID_ID1914 1.377e+01 1.957e-03 7037.752 < 2e-16 ***
DESTIN_GRID_ID1928 1.314e+01 2.975e-03 4418.232 < 2e-16 ***
DESTIN_GRID_ID1929 1.312e+01 3.094e-03 4239.862 < 2e-16 ***
DESTIN_GRID_ID1933 1.394e+01 2.046e-03 6813.321 < 2e-16 ***
DESTIN_GRID_ID1935 1.336e+01 2.490e-03 5366.527 < 2e-16 ***
DESTIN_GRID_ID1936 1.327e+01 2.426e-03 5470.274 < 2e-16 ***
DESTIN_GRID_ID1937 1.320e+01 2.495e-03 5291.584 < 2e-16 ***
DESTIN_GRID_ID1940 1.303e+01 2.368e-03 5503.461 < 2e-16 ***
DESTIN_GRID_ID1941 1.228e+01 3.321e-03 3697.295 < 2e-16 ***
DESTIN_GRID_ID1942 1.332e+01 4.578e-03 2909.865 < 2e-16 ***
DESTIN_GRID_ID1955 1.397e+01 2.070e-03 6746.485 < 2e-16 ***
DESTIN_GRID_ID1959 1.365e+01 2.115e-03 6456.775 < 2e-16 ***
DESTIN_GRID_ID1960 1.394e+01 1.857e-03 7509.190 < 2e-16 ***
DESTIN_GRID_ID1962 1.282e+01 2.633e-03 4866.846 < 2e-16 ***
DESTIN_GRID_ID1963 1.274e+01 2.484e-03 5127.783 < 2e-16 ***
DESTIN_GRID_ID1967 1.347e+01 2.164e-03 6221.395 < 2e-16 ***
DESTIN_GRID_ID1968 1.349e+01 2.573e-03 5240.905 < 2e-16 ***
DESTIN_GRID_ID1985 1.350e+01 2.699e-03 5004.128 < 2e-16 ***
DESTIN_GRID_ID1987 1.468e+01 1.631e-03 9001.949 < 2e-16 ***
DESTIN_GRID_ID1988 1.255e+01 2.800e-03 4481.503 < 2e-16 ***
DESTIN_GRID_ID1989 1.239e+01 3.192e-03 3881.483 < 2e-16 ***
DESTIN_GRID_ID1990 1.494e+01 1.583e-03 9437.214 < 2e-16 ***
DESTIN_GRID_ID1994 1.096e+01 1.249e-02 877.666 < 2e-16 ***
DESTIN_GRID_ID1995 1.295e+01 2.702e-03 4792.008 < 2e-16 ***
DESTIN_GRID_ID2010 1.363e+01 1.912e-03 7128.309 < 2e-16 ***
DESTIN_GRID_ID2011 1.366e+01 2.144e-03 6370.686 < 2e-16 ***
DESTIN_GRID_ID2012 1.285e+01 3.237e-03 3971.132 < 2e-16 ***
DESTIN_GRID_ID2013 1.300e+01 2.191e-03 5932.784 < 2e-16 ***
DESTIN_GRID_ID2014 1.313e+01 2.084e-03 6300.978 < 2e-16 ***
DESTIN_GRID_ID2015 1.354e+01 2.625e-03 5159.692 < 2e-16 ***
DESTIN_GRID_ID2016 1.313e+01 2.298e-03 5712.090 < 2e-16 ***
DESTIN_GRID_ID2017 1.318e+01 2.272e-03 5799.281 < 2e-16 ***
DESTIN_GRID_ID2021 1.164e+01 6.500e-03 1790.611 < 2e-16 ***
DESTIN_GRID_ID2038 1.431e+01 1.717e-03 8332.794 < 2e-16 ***
DESTIN_GRID_ID2039 1.277e+01 3.216e-03 3970.619 < 2e-16 ***
DESTIN_GRID_ID2040 1.302e+01 2.443e-03 5330.158 < 2e-16 ***
DESTIN_GRID_ID2041 1.375e+01 1.913e-03 7184.306 < 2e-16 ***
DESTIN_GRID_ID2042 1.274e+01 3.147e-03 4047.128 < 2e-16 ***
DESTIN_GRID_ID2043 1.353e+01 2.506e-03 5399.772 < 2e-16 ***
DESTIN_GRID_ID2044 1.342e+01 2.040e-03 6579.001 < 2e-16 ***
DESTIN_GRID_ID2064 1.340e+01 2.592e-03 5170.310 < 2e-16 ***
DESTIN_GRID_ID2065 1.319e+01 2.567e-03 5138.618 < 2e-16 ***
DESTIN_GRID_ID2066 1.325e+01 2.057e-03 6441.882 < 2e-16 ***
DESTIN_GRID_ID2067 1.261e+01 3.131e-03 4028.090 < 2e-16 ***
DESTIN_GRID_ID2068 1.306e+01 2.680e-03 4872.696 < 2e-16 ***
DESTIN_GRID_ID2070 1.355e+01 2.622e-03 5167.691 < 2e-16 ***
DESTIN_GRID_ID2071 1.362e+01 2.324e-03 5860.518 < 2e-16 ***
DESTIN_GRID_ID2093 1.358e+01 1.933e-03 7024.981 < 2e-16 ***
DESTIN_GRID_ID2094 1.348e+01 2.138e-03 6303.227 < 2e-16 ***
DESTIN_GRID_ID2095 1.344e+01 3.042e-03 4419.568 < 2e-16 ***
DESTIN_GRID_ID2098 1.328e+01 2.830e-03 4693.013 < 2e-16 ***
DESTIN_GRID_ID2119 1.332e+01 2.533e-03 5258.955 < 2e-16 ***
DESTIN_GRID_ID2120 1.400e+01 2.036e-03 6878.664 < 2e-16 ***
DESTIN_GRID_ID2123 1.243e+01 3.320e-03 3745.246 < 2e-16 ***
DESTIN_GRID_ID2147 1.354e+01 2.075e-03 6526.366 < 2e-16 ***
DESTIN_GRID_ID2148 1.330e+01 2.151e-03 6179.955 < 2e-16 ***
DESTIN_GRID_ID2149 1.381e+01 2.358e-03 5856.055 < 2e-16 ***
DESTIN_GRID_ID2150 1.157e+01 5.985e-03 1932.407 < 2e-16 ***
DESTIN_GRID_ID2151 1.172e+01 5.189e-03 2257.878 < 2e-16 ***
DESTIN_GRID_ID2152 1.411e+01 1.975e-03 7141.937 < 2e-16 ***
DESTIN_GRID_ID2154 1.199e+01 4.649e-03 2579.305 < 2e-16 ***
DESTIN_GRID_ID2174 1.190e+01 4.821e-03 2468.063 < 2e-16 ***
DESTIN_GRID_ID2177 1.526e+01 1.543e-03 9894.495 < 2e-16 ***
DESTIN_GRID_ID2178 1.230e+01 2.835e-03 4339.635 < 2e-16 ***
DESTIN_GRID_ID2179 1.361e+01 2.141e-03 6355.825 < 2e-16 ***
DESTIN_GRID_ID2180 1.262e+01 3.642e-03 3465.759 < 2e-16 ***
DESTIN_GRID_ID2201 1.321e+01 2.430e-03 5435.794 < 2e-16 ***
DESTIN_GRID_ID2203 1.309e+01 3.591e-03 3645.617 < 2e-16 ***
DESTIN_GRID_ID2204 1.343e+01 2.451e-03 5480.509 < 2e-16 ***
DESTIN_GRID_ID2205 1.275e+01 2.406e-03 5298.798 < 2e-16 ***
DESTIN_GRID_ID2206 1.367e+01 1.862e-03 7339.591 < 2e-16 ***
DESTIN_GRID_ID2208 1.312e+01 2.637e-03 4976.080 < 2e-16 ***
DESTIN_GRID_ID2228 1.288e+01 2.696e-03 4778.998 < 2e-16 ***
DESTIN_GRID_ID2231 1.304e+01 2.367e-03 5507.827 < 2e-16 ***
DESTIN_GRID_ID2233 1.360e+01 1.827e-03 7446.190 < 2e-16 ***
DESTIN_GRID_ID2234 7.493e+00 9.130e-02 82.067 < 2e-16 ***
DESTIN_GRID_ID2235 1.062e+01 3.132e-02 339.076 < 2e-16 ***
DESTIN_GRID_ID2254 1.328e+01 5.670e-03 2342.603 < 2e-16 ***
DESTIN_GRID_ID2255 1.261e+01 4.082e-03 3088.299 < 2e-16 ***
DESTIN_GRID_ID2256 1.298e+01 2.576e-03 5037.797 < 2e-16 ***
DESTIN_GRID_ID2257 1.279e+01 7.745e-03 1650.855 < 2e-16 ***
DESTIN_GRID_ID2259 1.225e+01 4.370e-03 2803.355 < 2e-16 ***
DESTIN_GRID_ID2260 1.284e+01 2.293e-03 5599.372 < 2e-16 ***
DESTIN_GRID_ID2261 1.287e+01 2.291e-03 5618.681 < 2e-16 ***
DESTIN_GRID_ID2262 1.188e+01 4.894e-03 2426.809 < 2e-16 ***
DESTIN_GRID_ID2281 1.279e+01 3.945e-03 3242.679 < 2e-16 ***
DESTIN_GRID_ID2282 1.401e+01 1.933e-03 7247.351 < 2e-16 ***
DESTIN_GRID_ID2283 1.278e+01 2.713e-03 4711.014 < 2e-16 ***
DESTIN_GRID_ID2285 1.354e+01 2.192e-03 6177.751 < 2e-16 ***
DESTIN_GRID_ID2286 1.269e+01 2.765e-03 4588.446 < 2e-16 ***
DESTIN_GRID_ID2287 1.365e+01 1.722e-03 7923.269 < 2e-16 ***
DESTIN_GRID_ID2288 1.124e+01 6.842e-03 1642.974 < 2e-16 ***
DESTIN_GRID_ID2310 1.331e+01 2.212e-03 6018.221 < 2e-16 ***
DESTIN_GRID_ID2312 1.229e+01 5.091e-03 2413.349 < 2e-16 ***
DESTIN_GRID_ID2313 1.446e+01 1.722e-03 8399.148 < 2e-16 ***
DESTIN_GRID_ID2314 1.449e+01 1.588e-03 9122.015 < 2e-16 ***
DESTIN_GRID_ID2315 1.251e+01 2.674e-03 4677.491 < 2e-16 ***
DESTIN_GRID_ID2316 1.319e+01 2.032e-03 6489.472 < 2e-16 ***
DESTIN_GRID_ID2335 1.165e+01 1.356e-02 859.423 < 2e-16 ***
DESTIN_GRID_ID2339 1.334e+01 2.587e-03 5156.543 < 2e-16 ***
DESTIN_GRID_ID2340 1.319e+01 1.936e-03 6812.909 < 2e-16 ***
DESTIN_GRID_ID2341 1.354e+01 1.771e-03 7647.760 < 2e-16 ***
DESTIN_GRID_ID2342 1.237e+01 2.425e-03 5100.919 < 2e-16 ***
DESTIN_GRID_ID2343 1.221e+01 3.844e-03 3176.571 < 2e-16 ***
DESTIN_GRID_ID2363 1.247e+01 3.875e-03 3217.248 < 2e-16 ***
DESTIN_GRID_ID2367 1.299e+01 3.195e-03 4064.877 < 2e-16 ***
DESTIN_GRID_ID2368 1.311e+01 2.280e-03 5750.810 < 2e-16 ***
DESTIN_GRID_ID2369 1.391e+01 1.854e-03 7502.854 < 2e-16 ***
DESTIN_GRID_ID2370 1.478e+01 1.612e-03 9168.867 < 2e-16 ***
DESTIN_GRID_ID2371 1.275e+01 2.624e-03 4856.695 < 2e-16 ***
DESTIN_GRID_ID2390 1.401e+01 1.977e-03 7086.062 < 2e-16 ***
DESTIN_GRID_ID2391 1.379e+01 2.107e-03 6546.924 < 2e-16 ***
DESTIN_GRID_ID2394 1.153e+01 5.931e-03 1943.476 < 2e-16 ***
DESTIN_GRID_ID2395 1.297e+01 2.171e-03 5974.919 < 2e-16 ***
DESTIN_GRID_ID2396 1.306e+01 1.932e-03 6758.234 < 2e-16 ***
DESTIN_GRID_ID2397 1.155e+01 5.587e-03 2067.078 < 2e-16 ***
DESTIN_GRID_ID2398 1.232e+01 3.731e-03 3302.731 < 2e-16 ***
DESTIN_GRID_ID2418 1.325e+01 2.861e-03 4631.991 < 2e-16 ***
DESTIN_GRID_ID2419 1.383e+01 2.383e-03 5804.927 < 2e-16 ***
DESTIN_GRID_ID2422 1.174e+01 9.127e-03 1286.063 < 2e-16 ***
DESTIN_GRID_ID2423 1.214e+01 3.490e-03 3478.421 < 2e-16 ***
DESTIN_GRID_ID2424 1.348e+01 1.906e-03 7072.429 < 2e-16 ***
DESTIN_GRID_ID2425 1.474e+01 1.678e-03 8786.830 < 2e-16 ***
DESTIN_GRID_ID2426 1.285e+01 4.416e-03 2911.140 < 2e-16 ***
DESTIN_GRID_ID2443 1.404e+01 1.968e-03 7131.944 < 2e-16 ***
DESTIN_GRID_ID2445 1.361e+01 2.121e-03 6417.332 < 2e-16 ***
DESTIN_GRID_ID2449 1.198e+01 6.127e-03 1955.922 < 2e-16 ***
DESTIN_GRID_ID2450 1.241e+01 2.748e-03 4515.385 < 2e-16 ***
DESTIN_GRID_ID2451 1.374e+01 1.784e-03 7702.157 < 2e-16 ***
DESTIN_GRID_ID2472 1.109e+01 1.621e-02 684.189 < 2e-16 ***
DESTIN_GRID_ID2473 1.380e+01 2.410e-03 5725.674 < 2e-16 ***
DESTIN_GRID_ID2478 1.265e+01 2.762e-03 4579.292 < 2e-16 ***
DESTIN_GRID_ID2479 1.177e+01 7.755e-03 1517.398 < 2e-16 ***
DESTIN_GRID_ID2497 1.334e+01 2.433e-03 5480.998 < 2e-16 ***
DESTIN_GRID_ID2499 1.268e+01 3.849e-03 3293.882 < 2e-16 ***
DESTIN_GRID_ID2505 1.294e+01 2.931e-03 4414.657 < 2e-16 ***
DESTIN_GRID_ID2527 1.414e+01 1.931e-03 7323.271 < 2e-16 ***
DESTIN_GRID_ID2532 1.201e+01 4.336e-03 2769.321 < 2e-16 ***
DESTIN_GRID_ID2533 1.193e+01 6.452e-03 1849.749 < 2e-16 ***
DESTIN_GRID_ID2551 1.322e+01 3.627e-03 3645.988 < 2e-16 ***
DESTIN_GRID_ID2553 1.249e+01 5.669e-03 2203.156 < 2e-16 ***
DESTIN_GRID_ID2554 1.174e+01 7.151e-03 1641.167 < 2e-16 ***
DESTIN_GRID_ID2559 1.203e+01 5.798e-03 2074.526 < 2e-16 ***
DESTIN_GRID_ID2580 1.351e+01 2.380e-03 5674.739 < 2e-16 ***
DESTIN_GRID_ID2581 1.242e+01 5.042e-03 2462.162 < 2e-16 ***
DESTIN_GRID_ID2607 1.308e+01 2.506e-03 5220.383 < 2e-16 ***
DESTIN_GRID_ID2608 1.208e+01 5.473e-03 2207.914 < 2e-16 ***
DESTIN_GRID_ID2634 1.514e+01 1.634e-03 9265.326 < 2e-16 ***
DESTIN_GRID_ID2635 1.253e+01 3.631e-03 3450.888 < 2e-16 ***
DESTIN_GRID_ID2636 1.338e+01 2.534e-03 5279.442 < 2e-16 ***
DESTIN_GRID_ID2661 1.299e+01 2.336e-03 5561.023 < 2e-16 ***
DESTIN_GRID_ID2663 1.361e+01 1.916e-03 7099.130 < 2e-16 ***
DESTIN_GRID_ID2665 1.400e+01 2.126e-03 6588.104 < 2e-16 ***
DESTIN_GRID_ID2688 1.315e+01 2.619e-03 5022.265 < 2e-16 ***
DESTIN_GRID_ID2689 1.388e+01 2.002e-03 6933.344 < 2e-16 ***
DESTIN_GRID_ID2690 1.349e+01 2.137e-03 6314.449 < 2e-16 ***
DESTIN_GRID_ID2691 1.315e+01 2.144e-03 6135.127 < 2e-16 ***
DESTIN_GRID_ID2693 1.356e+01 2.361e-03 5742.934 < 2e-16 ***
DESTIN_GRID_ID2715 1.307e+01 2.890e-03 4522.003 < 2e-16 ***
DESTIN_GRID_ID2717 1.324e+01 1.926e-03 6875.847 < 2e-16 ***
DESTIN_GRID_ID2718 1.228e+01 3.952e-03 3108.148 < 2e-16 ***
DESTIN_GRID_ID2719 1.341e+01 2.055e-03 6526.801 < 2e-16 ***
DESTIN_GRID_ID2742 1.333e+01 2.510e-03 5310.338 < 2e-16 ***
DESTIN_GRID_ID2743 1.319e+01 3.674e-03 3590.737 < 2e-16 ***
DESTIN_GRID_ID2744 1.376e+01 1.947e-03 7065.120 < 2e-16 ***
DESTIN_GRID_ID2745 1.353e+01 1.960e-03 6906.809 < 2e-16 ***
DESTIN_GRID_ID2747 1.269e+01 3.167e-03 4007.603 < 2e-16 ***
DESTIN_GRID_ID2768 1.334e+01 2.657e-03 5022.508 < 2e-16 ***
DESTIN_GRID_ID2771 1.516e+01 1.600e-03 9476.203 < 2e-16 ***
DESTIN_GRID_ID2773 1.259e+01 2.752e-03 4574.558 < 2e-16 ***
DESTIN_GRID_ID2798 1.189e+01 4.430e-03 2683.989 < 2e-16 ***
DESTIN_GRID_ID2799 1.281e+01 2.341e-03 5471.354 < 2e-16 ***
DESTIN_GRID_ID2800 1.444e+01 1.713e-03 8431.470 < 2e-16 ***
DESTIN_GRID_ID2824 1.422e+01 1.998e-03 7118.165 < 2e-16 ***
DESTIN_GRID_ID2825 1.319e+01 2.001e-03 6591.632 < 2e-16 ***
DESTIN_GRID_ID2826 1.257e+01 3.370e-03 3731.409 < 2e-16 ***
DESTIN_GRID_ID2827 1.502e+01 1.631e-03 9209.383 < 2e-16 ***
DESTIN_GRID_ID2852 1.271e+01 3.248e-03 3914.876 < 2e-16 ***
DESTIN_GRID_ID2853 1.417e+01 1.661e-03 8528.998 < 2e-16 ***
DESTIN_GRID_ID2854 1.353e+01 2.084e-03 6493.238 < 2e-16 ***
DESTIN_GRID_ID2878 1.283e+01 3.169e-03 4049.196 < 2e-16 ***
DESTIN_GRID_ID2879 1.292e+01 2.502e-03 5164.768 < 2e-16 ***
DESTIN_GRID_ID2880 1.235e+01 3.141e-03 3930.684 < 2e-16 ***
DESTIN_GRID_ID2881 1.330e+01 2.724e-03 4883.625 < 2e-16 ***
DESTIN_GRID_ID2907 1.231e+01 4.173e-03 2949.073 < 2e-16 ***
DESTIN_GRID_ID2908 1.360e+01 2.182e-03 6231.668 < 2e-16 ***
DESTIN_GRID_ID2933 1.432e+01 2.758e-03 5192.889 < 2e-16 ***
DESTIN_GRID_ID2934 1.275e+01 3.021e-03 4219.398 < 2e-16 ***
DESTIN_GRID_ID3098 1.379e+01 3.413e-03 4038.752 < 2e-16 ***
log(TORIGIN_BIZ_COUNT) -5.619e-03 9.849e-05 -57.053 < 2e-16 ***
log(TORIGIN_FINSERV_COUNT) 6.986e-02 8.982e-05 777.770 < 2e-16 ***
log(TORIGIN_MRTEXIT_COUNT) 5.929e-02 1.611e-04 368.131 < 2e-16 ***
log(TORIGIN_BUSSTOP_COUNT) 2.170e-01 2.489e-04 871.871 < 2e-16 ***
log(TORIGIN_HDBCOMM_UNITS) -1.469e-04 5.435e-05 -2.702 0.00689 **
log(TORIGIN_HDBRES_UNITS) 4.258e-01 1.617e-04 2633.529 < 2e-16 ***
log(TORIGIN_SCHOOLS_COUNT) 1.248e-01 2.220e-04 562.244 < 2e-16 ***
log(DISTANCE) -1.378e+00 1.216e-04 -11335.668 < 2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(Dispersion parameter for poisson family taken to be 1)
Null deviance: 2876477793 on 101668 degrees of freedom
Residual deviance: 138440291 on 101312 degrees of freedom
AIC: 139198612
Number of Fisher Scoring iterations: 6CalcRSquared(decSIM_Poisson4$data$TRIPS, decSIM_Poisson4$fitted.values)[1] 0.5698026model_list4 <- list(originConstrained4=orcSIM_Poisson4,
destinationConstrained4=decSIM_Poisson4,
doublyConstrained2=dbcSIM_Poisson2)compare_performance(model_list4,
metrics = "RMSE")# Comparison of Model Performance Indices
Name | Model | RMSE
------------------------------------------
originConstrained4 | glm | 3001.307
destinationConstrained4 | glm | 3188.985
doublyConstrained2 | glm | 2302.478